Question

Help with the math question please

Answer 1

Answer: its a and the person above me is correct

Explanation:

Answer 2

a) Infinite solutions = intersect at every point (2 of the same line)

m = rise/run = 3/2

b = y-intercept = (0, -3)

y = 3/2x - 3

b) No solutions = no point of intersection (parallel lines)

m = 3/2 (same slope b/c parallel)

b = (0, 2)

y = 3/2x + 2

c) One solution = one point of intersection

Solution = (4, 3)

y - y₁ = m (x - x₁)

y - 2 = m (x - 2)

m =
`(y2-y1)/(x2-x1)=(3-2)/(4-2) =(1)/(2)`

y - 2 = 1/2 (x - 2)

y = 1/2x + 1

Check to see if (4, 3) is the solution to the system:

y = 1/2x + 1

y = 3/2x - 3

1/2x + 1 = 3/2x - 3

1 = 2/2x - 3

x = 4 ✅

y = 1/2(4) + 1 = 3 ✅

I hope this helps!