How to write the equation of a line perpendicular to another through a point

What is the y-intercept of the line y = 5x + 4?

• 1

• -2

• 5

• 4

If a line has a slope of 5, what is the slope of a line perpendicular to it?

• -1/5

• 1/5

• -5

• 5

Why must the slope of a perpendicular line be the negative reciprocal of the original line's slope?

• To make the lines identical

• To ensure they intersect at a 90-degree angle

• To make the lines parallel

• To have the same y-intercept

What is the y-intercept of the perpendicular line that passes through the point (1, -2)?

• 1/5

• -9/5

• 0

• 4

How do you find the y-intercept of a line if you know a point on the line and its slope?

• Divide the y-coordinate by the slope

• Multiply the slope by the x-coordinate

• Use the x-coordinate of the point as the y-intercept

• Substitute the point into the line equation and solve for the y-intercept