Write an equation in slope-intercept form for the line that passes through (0, –2) and is perpendicular to the graph of y = −¼ x + 3

Given:

A line passes through the point (0,2) and is perpendicular to the graph of .

To find:

The slope intercept form of the given line.

Solution:

Slope intercept form of a line is

Where, m is slope and b is y-intercept.

We have,

Here, the slope of the line is .

The product of slopes of two perpendicular lines is -1.

The slope of the required line is m=4 and it passes through the point (0,2). So, the equation of the required line is

Therefore, the equation of the required line is .

step-by-step explanation:

where is the question is there is a formula or is there not one