Savvas Realize Math XL

Question

Find the equation of the line that contains the given point and is parallel to the given line. Write the equation in​ slope-intercept form, if possible.

(−9,8)​; 4x−3y=5

Select the correct choice below and fill in the answer box to complete your choice.

A.

The equation of the parallel line in​ slope-intercept form is

enter your response here.

​(Simplify your answer. Type your answer in​ slope-intercept form. Use integers or fractions for any numbers in the​ equation.)

B.

The equation of the parallel line cannot be written in​ slope-intercept form. The equation of the parallel line is

enter your response here.

​(Simplify your answer. Use integers or fractions for any numbers in the​ equation.)

Answer 1

You first need to put the original equation in slope-intecept form to find its slope.

4x−3y=5

Solve for y

-3y = -4x+5

y = (4/3)x -(5/3) This line has a slope of 4/3

Use point - slope form to write an equation of a line with slop 4/3 that goes through (-9, 8)

y - 8 = (4/3)(x- -9)

y = (4/3)x + 12 +8

y = (4/3)x +20