Answer:
y = 2/3x + 14/3
Step-by-step explanation:
2x - 3y = 15
Rewrite in slope-intercept form.
y = 2/3x -5
Using the slope-intercept form, the slope is 2/3
m = 2/3
To find an equation that is parallel to 2x - 3y = 15 the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.
(2,6)
m=2/3
Using the point-slope form y - y1 = m(x-x1) plug in m= 2/3 , x1 = 2 and y1 = 6
y - 6 = 2/3 * (x - 2)
solve for y
y = 2/3x + 14/3
