Question

For geometry:( will give brainist to the correct answer!!!

Answer 1

Answer:

y = ⅔x - 5

Step-by-step explanation:

The line that passes through (-3, -7) will have the same slope (m) as the line, 2x - 3y = 24. This is because if two lines that are parallel to each other would have the same slope.

Rewrite 2x - 3y = 24, in the slope-intercept form, y = mx + b.

Thus:

2x - 3y = 24, rewritten would give us y = ⅔x - 8.

The slope of the line, 2x - 3y = 24, is ⅔.

Thus, the slope of the line that is parallel to 2x - 3y = 24, is also ⅔.

To find the equation, substitute a = -3, b = -7, and m = ⅔ into y - b = m(x - a).

Thus:

y + 7 = ⅔(x + 3)

Rewrite to make the equation in slope-intercept form.

Thus:

y + 7 = ⅔(x + 3)

3(y + 7) = 2(x + 3) ---› multiplication property of equality

3y + 21 = 2x + 6 ----› distributive property

3y = 2x + 6 - 21 ----› subtraction property of equality

3y = 2x - 15

y = ⅔x - 5 (division property of equality)