Write the equation in slope intercept form of the line that contains the points4 -7 and 0 5?

Answer 1

slope-intercept form: y = mx + b, where m = slope, b = y-intercept.

Let (x1, y1) = (0, 5) and (x2, y2) = (4, -7)

1. Finf the slope m.

m = (y2 - y1)/(x2 - x1) = (-7 - 5)/(4 - 0) = -12/4 = -3

2. Use the slope -3 and the point (0, 5) to write the point-slope form of the equation of the line, then reduce it to the slope-intercept form.

(y - y1) = m(x - x1) (substitute 5 for y1, -3 for m, and 0 for x1)
y - 5 = -3(x - 0)
y - 5 = -3x (add 5 to both sides)
y = -3x + 5