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If the slope of a line and a point on the line are known, the equation of the line can be found using the slop-intercept form, y=mx+b. To do so, substitute the value of the slope and the values of the x and y using the coordinates of the given point, the. determine the value of b. (-4,13) (8,-2)

Respuesta :

Let's find the slope m using the following equation:

m = (y2 - y1)/(x2 - x1)

Where:

(-4,13) = (x1,y1)

(8.-2) = (x2,y2)

m = (-2 - 13)/(8 - (-4)) = -15/12 = -5/4

Now, let's use the point slope equation:

y - y1 = m(x - x1)

y - 13 = -5/4(x - (-4))

y - 13 = -5x/4 - 5

Solve for y:

y = -5x/4 - 5 + 13

y = -5x/4 + 8

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