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50:13
Which equations represent the line that is parallel to 3x - 4y = 7 and passes through the point (-4,-2)? Select two
options
y=
35-4y=-4
4x - 3y = -3
Oy-2 = (x-4)
Cy+2=(x+4)
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4(y+2) = 3(x+4) and 4y - 3x = 4

Step-by-step explanation:

The equation of the line in point slope form is expressed as;

y - y0 = m(x-x0)

m is the slope

(x0, y0) is the point on the line

Given the equation 3x - 4y = 7

Rewrite in slope intercept form

-4y = -3x+7

y = 3/4 x - 7/4

Slope = 3/4

Slope of the required line will also be 3/4  since they are parallel lines

Substitute the slope and the point into the equation above;

y - y0 = m(x-x0)

y +2 = 3/4 (x+4)

4(y+2) = 3(x+4)

4y + 8 = 3x+12

4y - 3x = 12-8

4y - 3x = 4

Hence the required equations are 4(y+2) = 3(x+4) and 4y - 3x = 4

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step-by-step explanation: