Question

What is the slope of the line passing through the point (4, −3) and perpendicular to the line y = 2x + 1? Write your answer as a fraction.

What is the slope of a line that passes through the point (−5, 3) and is parallel to a line that passes through (2, 13) and (−4, −11)?

Answer 1

For a line with slope m, the slope of a line perpendicular to it is -1 / m.

Answer 2

Can you just tell me both the answers please? I really dont understand :((

Answer 3

Oh its alright I got the first one. but not the 2nd

Answer 4

For the first question
y = 2x + 1 is in the form of y = mx + c, which is called the slope-intercept form, where m is the slope.
So, m = 2. The slope of perpendicular line is -1 / m which is -1 / 2 (answer).

Answer 5

Parallel means the slopes are the same

Answer 6

Using the formula m = (y2 - y1) / (x2 - x1) where (x1 , y1) and (x2 , y2) are 2 points on the line.

Answer 7

So question 2
m = (-11 - 13) / (-4 - 2) = -24 / -6 = 4