Write an equation in standard form of the line that passes through (−6,−10) and has the slope m=1/6.

Step-by-step explanation:

y-b=m(x-a)

y--10=1/6(x--6)

y+10=1/6(x+6)

6y+60=1(x+6)

6y+60=1x+6

6y=1x-54

y=1/6x-54/6

y=1/6x-9

The  equation of line is y= 1/6x - 9.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

slope= 1/6

and, passes through (−6,−10)

Now, using slope intercept form

y- a =m (x- b)

y - (-10)= 1/6(x -(-6))

y + 10= 1/6( x + 6)

y + 10 = 1/6x + 1

y= 1/6x - 9

Hence, the equation of line is y= 1/6x - 9.

Learn more about slope here:

https://brainly.com/question/3605446

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A cylindrical water tank is being filled with a hose. The depth of the water increases by 114 ft per hour.

How many hours will it take for the water level in the tank to be 312 ft deep?

Enter your answer as a mixed number in simplest form

Please help me I will give out the brain thing and extra point, please. Image below
△ABC and △CDE similar right triangles. The coordinates of all the vertices are integers.
A. The slope of AC¯¯¯¯¯ is less than the slope of CE¯¯¯¯¯ . This is because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is less for AC¯¯¯¯¯ than for CE¯¯¯¯¯ .
B. The slope of AC¯¯¯¯¯ is greater than the slope of CE¯¯¯¯¯ . This is because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is greater for AC¯¯¯¯¯ than for CE¯¯¯¯¯ .
C. The slope of AC¯¯¯¯¯ is equal to the slope of CE¯¯¯¯¯ . This this because ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is the same for AC¯¯¯¯¯ as for CE¯¯¯¯¯
D. The relationship between the slope of AC¯¯¯¯¯ and the slope of CE¯¯¯¯¯ cannot be determined, because the triangles are congruent.

Hailey solves the equation shown.

14(2−x)=5+3x
In which step does Hailey make her first error?


Step 1: 12−x=5+3x

Step 2: 12=5+4x

Step 3: −92=4x

Step 4: −98=x

can anybody help me with my geo hw problem

I need help! Dilation with points on a grid!

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God bless! :)

two ratios that are equivalent to 6:10

2/7 x -41 =?




Sorry ignore this its says its not long enough.

If HEB sells grapes for $2.99 per pound and you purchase 2 3/4 pounds of grapes, what is the cost of the grapes?

please answer this one

Lana used 1 ½ gallons of paint to paint 3/4 of her bedroom room. How much paint is needed to paint the whole room

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h e l p -

Christopher has breakfast at a cafe and the cost of his meal is \$36.00$36.00dollar sign, 36, point, 00. Because of the service, he wants to leave a 10\%10%10, percent tip.

(239820491+122389102938)+(32193846789231+2318947291392918)=
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In Mrs. Stone's class, 18 out of 22 students turned in their homework on time. What percent of the class turned their homework in on time? Round your answer to the nearest 10th place.

What is the equation of this line? Please help I will give extra points and the brain thing.

y=−3x−4/3

y=4/3x−3

y=3/4x−3

y=−3x−3/4

2.An underestimate results from rounding each factor to a greater number. Which answer is it

-Always
-Sometimes
-Never

Brett bought three pairs of jeans and five polo shirts. The jeans that regularly sell for $79 were

35% off and the polo shirts that regularly sell for $39 were 15% off. If sales tax is 5.75% and he

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Moving at a constant rate, a trench machine is advertised as being able to dig 36-foot trenches in 40 minutes. A farmer uses the same machine to dig trenches that are 58.5 feet long, with each trench taking 65 minutes to complete.

Help Me plzzzzzzzzzz

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PLZ HELP I NEED WORK PLZ FAST Write the given equations in STANDARD FORM.
1) y + 4 = ½ (x – 4)
2) y = 2x + 3/7
(Just in case: Ax + By = C
A is positive
A and B are not 0
B can be negative
A, B, and C are integers)

A car made a 60-mile trip at an average speed of 20 mph. On the return trip, the car's average speed was 30mph. What was the average speed of the car for the entire two-way trip?

A) 30 mph
B) 26.5 mph
C) 26 mph
d) 24 mph

A rectangle has side lengths of 6 cm and 9 cm. What would the side lengths of the image be after dilation of 2.25? Explain your reasoning. PLS HELP DUE TODAY

Eeeeeeeeeeeeee please hurry qwq

BRAINLIEST AND 13 points plz help ASAP
A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.
In which step did the student first make a mistake and how can it be corrected?
Step 1; it should be m∠m + m∠n + m∠o = 180 degrees (sum of angles in a triangle)
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)
Step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles)
Step 2; m∠p − m∠o = 90 degrees (alternate interior angles)