Question

Find the equation of the line parallel to −3x+8y=5 and through (40,4). The equation of the line is (Simplify your answer. Type your answer in slope-intercept form. Use intege:

Answer 1

Explanation:

The equation of the given line is:

-3x+8y=5

The slope of the line is -(-3/8)=3/8.

Parallel lines have the same slope, therefore, slope of the required line is 3/8.

It passes through the point (40,4), therefore, its equation in the point slope form is:

`y-4=(3)/(8)(x-40)\\`

Isolate y on the left side to get the equation in the slope intercept form as:

`y=(3)/(8)x-11`