Question

Write an equation in slope-intercept form of the line that passes through the point (-6,-5) with slope 6.A. y = -5 + 6(2 + 6)B.y=6x + 31c. y - 5 = 6(x+6)D. 6x – y + 31 =0

Answer 1

Using the Point-Slope Formula :

$y-y_1=m(x-x_1)$

where m is the slope and (x1, y1) is the point on the line

From the given problem, m = 6 and the point is (-6, -5)

Subsitute the given to the formula :

$\begin{gathered} y-(-5)=6\lbrack x-(-6)\rbrack \\ y+5=6(x+6) \\ y+5=6x+36 \\ y=6x+36-5 \\ y=6x+31 \end{gathered}$

The answer is Choice B. y = 6x + 31