Question

What is the slope-intercept form of the equation of the line that passes through the points (2, 7) and (4, −1) ?

y=−4x+15
y=−4x+12
y=−4x+30
y=−4x+3

Answer 1

Find the slope (m) by using Y2-Y1/X2-X1

Y2 = -1

Y1 = 7

X2 = 4

X1 = 2

(-1 - 7)/((4-2) = -8/2 = -4

Use the point-slope formula to determine the equation. You only need to use one set of points. (2,7) in this case.

(y-Y1) = m(x-X1)

(y - 7) = -4(x - 2)

y-7=-4x + 8

y= -4x + 15

Answer 2

Find the slope (m) by using Y2-Y1/X2-X1

Y2 = -1

Y1 = 7

X2 = 4

X1 = 2

(-1 - 7)/((4-2) = -8/2 = -4

Use the point-slope formula to determine the equation. You only need to use one set of points. (2,7) in this case.

(y-Y1) = m(x-X1)

(y - 7) = -4(x - 2)

y-7=-4x + 8

y= -4x + 15