Question

PLSSSS

Find the equation of the line that contains the point (-1,-3) and is parallel to the line 5x+6y=11. Write the equation in slope-intercept form, if possible.

Answer 1

Answer: y = -5/6x - 23/6

(Read the explanation first to make sure it's correct)

Step-by-step explanation:

A parallel line means that it has the same slope as the equation:

5x + 6y = 11

Let's first convert this standard form equation into slope-intercept form:

y = -5/6x + 11/6

So that means that our new line also has a slope of:

-5/6

So far, for our new equation we have:

y = -5/6x + b

Next, let's plug in the values of our point to the equation:

-3 = 5/6 + b

So b = -23/6

So the equation in slope-intercept form is:

y = -5/6x - 23/6