Question

Given the line: y= 2x+3. please help asp thanks

a. What is the slope of a line parallel to the given line? ______________________
b. What is the slope of a line perpendicular to the given line? __________________

Answer 1

Explanation:

The general equation for a parallel line follows the form: y = mx+b, where m is the slope and b is the y-intercept.

a. A line that is parallel to the another line should have the same slope with a different y-intercept.

b. a line that is perpendicular should have an x value and a y value in common and a reciprocal slope

Answer 2

Hello from MrBillDoesMath!

Answer:

a. 2

b. - (1/2)

Discussion:

a. The slope of the line y = 2x +3 is 2. A line parallel to this lien has the same slope, that is, 2.

b. Two lines are perpendicular if the products of their slopes is -1. Sine the slope of the original line is 2 the slope. "m", of the perpendicular line is given by

2*m = -1

or

m = -1/2

Thank you,

MrB