Write a linear equation with this given information. Passes through (2,6) and parallel to the line 2x-3y=15

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

19

step-by-step explanation: