Question

Explain how you would graph the line containing a slope of –1/5 that goes through the point (1,–4).

Answer 1

Slope = -1/5
Coordinate = (1, -4)

We know, y - y1 = m(x - x1)
y + 4 = -1/5 (x - 1)
y + 4 = -1/5x + 1/5
y = -1/5x -19/5

When, x = 1, y = -1/5(1) - 19/5 = -20/5 = -4
x = 2, y = -1/5(2) - 19/5 = -21/5
x = 3, y = -1/5(3) - 19/5 = -22/5

Here, Your Coordinates would be: (0, -4), (1, -21/5), (2, -22/5)
Mark them & draw the lines. Graph is done!

Hope this helps!

Answer 2

Sample response: I would plot the point (1,–4) and then use the slope to move down 1 and right 5 to find another point on the line. Draw the line through the two points.