Question

A line whose equation is 4y-12x=8 is dilated with a center at the origin by a scale factor of 2. Write the equation of this line in slope-intercept form

Answer 1

The required equation of the new line will be  y = 3x + 4

Equation of a line

Given the equation of a line expressed as 4y-12x=8

Get the x and y-intercept of the line

If x = 0

4y = 8

y = 2

The first coordinate will be at  (0, 2)

If y = 0

-12x = 8

x = -2/3

The second coordinate will be (-2/3, 0)

Dilating the coordinate by 2 will give (0, 4) and (-4/3, 0)

The slope of the new line will be expressed as:

m = -4 * 3/-4

m = 3

The y -intercept of the new line will be 4.

The required equation of the new line will be  y = 3x + 4

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