Write an equation of the line containing the point (8,-4),

and parallel to the line 4x - 9y = 5.

and parallel to the line 4x - 9y = 5.

Find slope of given line first.

4x - 9y = 5

-9y = -4x + 5 {subtracted 4x from both sides}

y = (4/9)x - (5/9) {divided both sides by -9}

slope = 4/9

Parallel lines have equal slopes.

(8,-4) , m = 4/9

y - y1 = m(x - x1) {point-slope form}

y - (-4) = (4/9)(x - 8) {substituted into point-slope form}

y + 4 = (4/9)(x - 8) {simplified double negative signs}

y + 4 = (4/9)x - 32/9 {used distributive property}

4x - 9y = 5

-9y = -4x + 5 {subtracted 4x from both sides}

y = (4/9)x - (5/9) {divided both sides by -9}

slope = 4/9

Parallel lines have equal slopes.

(8,-4) , m = 4/9

y - y1 = m(x - x1) {point-slope form}

y - (-4) = (4/9)(x - 8) {substituted into point-slope form}

y + 4 = (4/9)(x - 8) {simplified double negative signs}

y + 4 = (4/9)x - 32/9 {used distributive property}

**y = (4/9)x - 68/9**{subtracted 4 from both sides, getting common denominators}

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