Answer:
y = ⅔x - 5
Step-by-step explanation:
The line that is parallel to 2x - 3y = 24, would have the same slope as the line, 2x - 3y = 24.
Rewrite;
2x - 3y = 24
-3y = -2x + 24
Divide both sides by -3
y = ⅔x - 8
Thus, the slope of 2x - 3y = 24 is ⅔.
Therefore the line that is parallel to 2x - 3y = 24, will have a slope (m) of ⅔.
Using point-slope form, we can generate an equation that passes through (-3, -7) and is parallel to 2x - 3y = 24.
Thus, substitute (a, b) = (-3, -7) and m = ⅔ into y - b = m(x - a)
Therefore:
y - (-7) = ⅔(x - (-3))
y + 7 = ⅔(x + 3)
Rewrite in slope-intercept form.
Multiply both sides by 3
3(y + 7) = 2(x + 3)
3y + 21 = 2x + 6
3y = 2x + 6 - 21
3y = 2x - 15
Divide both sides by 3
y = ⅔x - 5
