## What is the equation of the line that is parallel to the given line and passes through the point (−3, 2)? 3x − 4y = −17

Question

What is the equation of the line that is parallel to the given line and passes through the point (−3, 2)?

3x − 4y = −17
3x − 4y = −20
4x + 3y = −2
4x + 3y = −6

Visible line: (0,3)(3,-1)

in progress 0
5 days 2021-09-13T14:07:38+00:00 2 Answers 0

1. For this case we have that by definition, if two lines are parallel their slopes are equal.

The line given for the following points:

(0,3) and (3, -1). Then the slope is: Then, the requested line will be of the form: To find “b” we substitute the given point: Finally, the line is: By manipulating algebraically we have: Option D

Step-by-step explanation:

The equation of the line in Slope-Intercept form is: Where “m” is the slope and “b” is the y-intercept.

Knowing that the given line passes through the points (0,3) and (3,-1), we can find the slope: Since the other line is parallel to this line, its slope must  be equal: Substitute the slope and the point (-3, 2) into and solve for “b”: Then, the equation of the other line in Slope-Intercept form is: Rewriting it in Standard form, you get: 