Step-by-step explanation:
so blue and pink = purple Yellow and red = orange
Anwser would be 18/14 simplified to 9/7
Parallel lines have the same slope, in this case 3.
To find the y intercept we plug in the points (2,1) into y=mx+b, with 2 being x and 1 being y.
1=3(2) + b
Solve this and you get -5 as the y intercept.
The equation is y=3x-5
To find the intersection points, you take x^2 - 4x + 9 = -2x + 17
This gives x^2 - 2x - 8 = 0,
which factorises to (x - 4)(x + 2) = 0, giving the solutions x = 4 or x = -2
From the graph, we can see that x is positive, meaning x = 4, so a = 4.
Substituting x = 4 into y = -2x + 17, we get y = -2(4) + 17 = 9, so b = 9.
a + b = 4 + 9 = 13. The answer is B.
