Question

Step 1

Equations of parallel lines are of the form

Given, required equation of line is parallel to 4*x*-3*y* = 12

Hence, the required equation of line is of the form 4*x*-3*y* = *c*

Given (-5,0) is the *x*-intercept of the required line.

Hence, the point satisfies the equation.

Plugging the point in the equation,

Hence, *c* = -20

Hence, the equation of the line that has *x*-intercept (-5,0) and is parallel to 4*x*-3*y* = 12 is 4*x*-3*y* = -20

Step 2

Rewriting the equation of the required line:

Therefore, the equation of the line that has *x*-intercept (-...

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