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

Hey!

So we are given that the line is parallel to the given line, meaning that they both have the same slope. The slope of the line we can then tell by just looking at the equation. It is the coefficient of x (since this is already in slope-intercept form) and that is 1/2.

Now that we know the slope we can find the y-intercept using both the slope and the point that we are given:

y = mx + b

-2 = (1/2)(-3) + b

-2 = -3/2 + b

-1/2 = b

Now that we have the y-intercept and the slope we can plug these into the equation to get our

y = 1/2x - 1/2

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