The line through (-8,3) parallel to the line 3x+2y=17

Answer 1

solve the equation for y, then the coefficient of the x term is the slope. Parallel lines have the same slope

2y = -3x + 17

y = (-3/2)x + 17/2

the parallel line has standard form

y= mx + b where m= the slope = -3/2

y=(-3/2)x + b where b is the y intercept. Calculate b by plugging in the point (-8,3)

3 = (-3/2)(-8) + b

b = 3 -12 = -9

y= (-3/2)x - 9 is the parallel line through (-8,3)