Write an equation in slope-intercept form for the line that passes through (−3,0) and is perpendicular to the line described by y=4.

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Step-by-step explanation:

It is given that the line passing through (-3,0) and perpendicular to the line .

We know that is a horizontal line and all vertical lines are perpendicular to a horizontal line.

A vertical line can not be written in slope-intercept form because slope of vertical line is infinite and it has no y-intercept.

A vertical line is in the form of , where the line intersect the x-axis at (a,0).

Since the required line passing trough (-3,0), therefore the equation of required line is .