Question

Write an equation in slope-intercept form for the line that passes through (−2, 3) and is parallel to

the line with the equation 3x + 2y = 6.

Answer 1

y= (-3x+6)2

For parallel lines, slopes are the same,

y = mx + c

Substitute the values,

3 = (-3/2)(-2) + c

3=3 + c,

c = 0

Thus, the equation is y= -3/2x

Hope it helps :)