Question

Write an equation is slope intercept form that is parallel to the given line and passes through the given point. 3x + 4y = 8 (4,-3)

Answer 1

Answer:

The equation is y = -3/4x

Step-by-step explanation:

First we have to find the slope of the line. In order to do so, solve the first equation for y.

3x + 4y = 8

4y = -3x + 8

y = -3/4x + 2

This gives us a slope of -3/4. Given that information, we now can plug the slope and point into point-slope form and get the final equation.

y - y1 = m(x - x1)

y - -3 = -3/4(x - 4)

y + 3 = -3/4x + 3

y = -3/4x