I need help ASAP

Question

Passes through the point (-3,4) and is parallel to the graph y=2/3x+5.

Answer 1

Hi Alma,

Parallel lines have the same slope. Since the equation of the line in your problem is written in slope-intercept form, we can identify the slope right away: y = mx + b (m is the slope , b is the y-intercept)

y = 2/3 x + 5

The slope of this line is 2/3

Now we can use the slope of 2/3 and the coordinates of the point (-3,4) on the new line to find the y-intercept of the new line:

y = 2/3 x + b

4 = 2/3 • (-3) + b

4 = -2 + b

4 + 2 = -2 + b - 2

6 = b

The equation of the parallel line will be:

y = 2/3 x + 6