Using the graph below, which of the following equations represents the line that is parallel to line FG and passes through the (8, - 3) point?

Explanation:

The equation if the line that is parallel to line FG, will have the same slope as line FG.

To find that equation in slope-intercept intercept form, y = mx + b, we need to find m (slope) and b (y-intercept).

The slope, m, will be the same as the slope of line FG.

Let's calculate the slope of line FG:

F(-4, -2) and G(-8, 5)

The slope, m, of the line that is parallel to line FG will be -⁷/4.

Substitute x = 8, y = -3, m = -⁷/4 into y = mx + b and solve for the y-intercept, b, of the equation if the line that is parallel bro line FG.

Add 14 to both sides

Substitute m = -⁷/4 and b = 11 into y = mx + b

Therefore, the equation that represents the line that is parallel to line FG and passes through the (8, - 3) point is .

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