Question

Identify an equation in point-slope form for the line parallel to y = 1/2x - 7 thatpasses through (-3,-2).

Answer 1

ANSWER:

D.

$y+2=\frac{1}{2}(x+3)$

EXPLANATION:

Given:

$y=\frac{1}{2}x-7$

Recall that the slope-intercept form of the equation of a line is generally given as;

$y=mx+b$

where;

m = slope of the line

b = y-intercept of the line

Comparing both equations above, we can see that the slope(m) of the line is 1/2 and the y-intercept(b) is -7

Recall that parallel lines have the same slope. So the line that is parallel to the given line will have the same slope(m) of 1/2

Given the point (-3, -2), we can go ahead and write the equation of the parallel line in point-slope form as seen below;

$\begin{gathered} y-y_1=m(x-x_1) \\ y-(-2)=\frac{1}{2}[(x-(-3)] \\ y+2=\frac{1}{2}(x+3) \end{gathered}$