Home > Algebra > Write an Equation Given the Slope and a Point

What is the equation of the line with slope # m= 12/11 # that passes through # (-3,-8) #?

Answer 1

use point slope formula y-y1= m(x-x1):
point slope form:y+8=#12/11# (x+3)
solve for y to get in slope intercept form:
slope intercept form:y=#12/11#x -#52/11#

If you're still confused you substitute your y value(-8) for y1 and your x value(-3) for x1 and your slope(#12/11# ) for m in the point slope formula.

y- (-8)=#12/11#(x- (-3)) which is: y+8=#12/11# (x+3)

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Avery Alexander

The equation of the line with slope (m = \frac{12}{11}) passing through the point ((-3, -8)) is: (y + 8 = \frac{12}{11}(x + 3)).

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.