graph the line that has a slope of 4 and includes the point (-2, -8). click to select points on the graph.

graph the line that has a slope of 4 and includes the point (-2, -8). click to select points on the graph.

graph the line that has a slope of 4 and includes the point (-2, -8). click to select points on the graph.

Answer

Explanation:

Step1: Use the point - slope form

The point - slope form of a line is (y - y_1=m(x - x_1)), where (m = 4), (x_1=-2), and (y_1=-8). Substitute the values: (y+8 = 4(x + 2)).

Step2: Simplify the equation

Expand the right - hand side: (y+8=4x + 8). Subtract 8 from both sides: (y = 4x).

Step3: Find another point

Let (x = 0), then (y=4\times0=0). So another point on the line is ((0,0)).

Step4: Plot the points and draw the line

Plot the points ((-2,-8)) and ((0,0)) on the graph. Then draw a straight line passing through these two points.

Answer:

Plot the points ((-2,-8)) and ((0,0)) and draw a line through them.