Question

Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the following equation Point: (4,-6) Equation: y = -3/4x + 1​

Answer 1

Hey there!

The answer to your question is y = -3/4x - 3

If an equation in slope-intercept form is parallel to another equation, they will both have the same slope. So, we know part of the equation:

y = -3/4x + b

Now, we have to solve for b. We know that it has to pass through the given point, (4, -6), so we can plug the points into the equation, and solve for b:

-6 = (-3/4)(4) + b

-6 = -3 + b

-3 = b

We know that "-3" is b, so that means the equation in slope-intercept form is y = -3/4x - 3

Hope it helps, and have an amazing day! You've got this!