Question

Determine the equation of a line with slope -4 passing through the point (2, -3)

Answer 1

y = -4x + 5

Explanation:

This linear function can be represented through the slope-intercept form, or y=mx+b. You already know your m value, 4, which is your slope. From there you can plug in your coordinate into the y and x values to find your y-intercept, or b.

y = mx + b

-3 = -4(2) + b

b = 5

Then you put it all together to form the equation f(x) = -4x + 5