Question

1

y
X
E
21
Which equation matches the graph?
OA. y = kx + 4
OB. y = 3.5 - 4
Oc. y = ks - 4

Answer 1

B.
`y = 3x - 4`

Explanation:

First, using two points (0, -4) and (3, 5), find slope:

`m = (y_2 - y_1)/(x_2 - x_1) = (5 -(-4))/(3 - 0) = (9)/(3) = 3`

Slope, m = 3

Next, determine the y-intercept, b.

The y-intercept is the value of y when x = 0. It is the point where the line intercepts the y-axis.

From the graph given, y-intercept, b, is -4.

Substitute b = -4 and m = 3 into
`y = mx + b`.

The equation would be:

✔️
`y = 3x - 4`