Question

write the equation of the line that satisfies the given conditions.give the equation (a) in the slope-intercept form and (b) in standard form. through (-5,7); perpendicular to x=8

Answer 1

In order for a line to be perpendicular to another, the product between the slopes needs to be equal to -1.

since the line x=8 is a vertical line and does not have a slope multiplying a variable, the perpendicular line needs to be a horizontal line.

the general equation for a horizontal line:

$y=c$

if it needs to pass through the point (-5,7), the y-coordinate will determine the equation

$y=7$

Answer:

$y=7$