Question

Write an equation in​ slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.

(12,-5) 7x-3y=-5

Answer 1

Explanation:

Two lines are parallel when they have the same slope. First, lets find the slope of the given line.

7x - 3y = 5

3y = 7x - 5

y = 7/3 x - 5/3

The slope is 7/3 which is also the slope of the parallel line as we said above.

The parallel line has the equation y = 7/3x + b

we use the point (12,-5) to find the value of b (the y-intercept)

-5 = 7/3 * (12) + b

-5 = 28 + b

b = -33

y = 7/3x - 33