PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answer:

[tex]y=-10x+43[/tex]

Step-by-step explanation:

We need to put this line into slope-intercept form, which is [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the [tex]y[/tex]-intercept.

The slope is rise over run, how much the [tex]y[/tex] value changes for one [tex]x[/tex] value. This can be found with the equation: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are points on the line. Plugging in the first two points:

[tex]m=\frac{3-13}{4-3}=-10/1=-10[/tex]

We know them that [tex]m=-10[/tex]. This gives us for now [tex]y=-10x+b[/tex].

Now, to solve for [tex]b[/tex], plug in any one of the points (I'll use (3,13)):

[tex]13=-10(3)+b[/tex]

[tex]13=-30+b[/tex]

[tex]b=43[/tex]

This gives us the equation [tex]y=-10x+43[/tex].

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10:29

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