Question

Graph the line passing through (6,−2) whose slope is m=−3

Answer 1

Explanation:

When you know the slope m of a line and a point (x₀,y₀) on the line, you can write an equation for the line in "point-slope" form:

y-y₀ = m(x-x₀)

In your case,

y+2 = -3(x-6)

The line is easier to graph if you rearrange the equation to solve for y:

y = -3x+16

You know that (0,16) is one of the points on the line.

Plot the two points that you know, (6,-2) and (0,16), then draw a line through them.