At what point does a line with a slope of 34 and a y-intercept of −5 intersect a line with a slope of −14 and a y-intercept of 3?

Answer 1

y=34x-5

y=-14x+3

34x-5 = -14x +3

48x =8

x = 8/48 = 1/6

y= 34(1/6) -5 = 17/3-15/3 = 2/3

(1/6, 2/3) is the point of intersection