Identify the equation in slope-intercept form for the line

Question

) Identify the equation in slope-intercept form for the line containing the point (−3,5) and parallel to y = - 2/3x + 5/3

Please include step by step!

Answer 1

y = (-2/3) x + 5/3

a parallel line will have the same slope. The slope = the coefficient of the x term when the equation is solved for y. slope =-2/3

y = (-2/3)x + b. to solve for b, plug in the point (-3, 5)

5= (-2/3)(-3) + b

b = 5 -2 = 3

y = (-2/3)x +3 is the parallel line through the point (-3,5)