Question

Write the point-slope form of the equation of the line passing through the points (-5,6) and (0,1).

a. y + 6 = -1(x - 5)
b. y - 6 = -1(x + 5)
c. y + 6 = 1(x -5)
d. y - 6 = 1(x + 5)

Answer 1

y = -x + 1

Explanation:

First, find the slope: As we go from (-5,6) to (0,1), x increases by 5 and y decreases by 5. Hence the slope is m = rise / run = -1.

The point (0, 1) happens to be the y-intercept, b.

Thus, y = mx + b, the slope-intercept form, becomes:

y = -x + 1.

Answer 2

Answer:B

M=Y2-Y1/X2-X1. whereY2=1,Y1=6,X2=0,X1=-5.

M=1-6/0-(-5)

= -1

USING EQUATION OF A LINE PASSSING THROUGH THE POINTS>

Y-Y1=M(X-X1)

Y-6=-1(X-(-5)

Y-6=-1(X+5)

Explanation: