What is the equation of a line that is perpendicular to the line y = 2x + 4 and passes through the point (-2, 3)?

Step-by-step explanation:

The given equation is written in slope-intercept form:

where:

The slope is 2:

When two lines are perpendicular, their slopes will be opposite reciprocals. Find the slope of the line perpendicular to the given equation:

This can be seen as:

Flip the fraction (reciprocal):

→

Now find the opposite:

→

So the slope of the perpendicular line is:

Now make an equation written in point-slope form:

where:

Insert information:

Simplify to slope-intercept form. Solve for y:

Use the distributive property:

Add 3 to both sides to isolate the variable:

:Done

you answer is a

step-by-step explanation: