Question

Graph the line that passes through the given point and has the given slope m.

(-3, -4); m = 6

(-3,1), m = -3

(-4, -2); m = 1/2

Answer 1

Part 1) The graph in the attached figure (see the explanation)

Part 2) The graph in the attached figure (see the explanation)

Part 3) The graph in the attached figure (see the explanation)

Explanation:

Part 1) we have

(-3, -4); m = 6

Remember that to graph a line we need two points

From the given point (-3,-4) use the slope to find your next point

The slope is 6, so you will rise 6 (up) and run 1 (to the right).

The next point is (-3+1,-4+6) -----> (-2,2)

Plot the points (-3,-4), (-2,2) and and join them to draw the line

see the attached figure N 1

Part 2) we have

(-3, 1); m = -3

Remember that to graph a line we need two points

From the given point (-3,1) use the slope to find your next point

The slope is -3, so you will rise -3 (down) and run 1 (to the right).

The next point is (-3+1,1-3) -----> (-2,-2)

Plot the points (-3,1), (-2,-2) and and join them to draw the line

Part 3) we have

(-4, -2); m=1/2

Remember that to graph a line we need two points

From the given point (-4,-2) use the slope to find your next point

he slope is 1/2, so you will rise 1 (up) and run 2 (to the right).

The next point is (-4+2,-2+1) -----> (-2,-1)

Plot the points (-4,-2), (-2,-1) and and join them to draw the line

see the attached figure N 3