Answer:
B. [tex] y = 3x - 4 [/tex]
Step-by-step explanation:
First, using two points (0, -4) and (3, 5), find slope:
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 -(-4)}{3 - 0} = \frac{9}{3} = 3 [/tex]
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 [tex] y = mx + b [/tex].
The equation would be:
✔️[tex] y = 3x - 4 [/tex]
