Question

Given that a line has a slope of -3 and a point on the line is (2,-4),

1.what is the equation of the line in point-slope form?
2.how do we create slope-intercept form?
*please show all work, step by step.

Answer 1

The equation in Point Slope Form is

y + 4 = -3(x - 2)

We can convert this to Slope-Intercept Form by isolating y.

y + 4 = -3(x - 2)
y + 4 = -3x + 6
Subbtract 4 from both sides.
y = -3x + 2

The equation in Slope-Intercept Form is y = -3x + 2.