Find the slope-intercept form of the equation of the line that passes through (-5,3) and is parallel to 12x-3y=10

y=4x+23

Step-by-step explanation:

Convert given equation into slope-intercept form:

12x-3y=10

4x-y=10/3

-y=10/3-4x

y=-10/3+4x

y=4x-10/3

Because the new equation must be parallel to the old equation, the slope stays the same, but the y-intercept changes based on the point that the new equation should pass through:

y=4x+b

3=4(-5)+b

3=-20+b

23=b

This means the slope-intercept form of the equation of the line that passes through (-5,3) and is parallel to 12x-3y=10 is y=4x+23

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