Write the equation of the line that is perpendicular to x = -3 and passes through the point (4, -7).

x=-3 is a vertical line, so the line perpendicular to it must be horizontal

Horizontal lines are written in the form y= the value of y that is constant

So, if a horizontal line passes through (4,-7), the y-value is -7, so the equation of the line perpendicular to x= -3 is y= -7.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

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

therefore the required function is . the graph of this function is shown below.

definitely a. the others have almost all data points on one side of the line.

step-by-step explanation: