Step-by-step explanation:
Step 1: Find the y-int
On this graph, the line hits the y-axis once and it was at (0, 4) and now we know that the b is now 4.
Step 2: Find the slope
Find two points
[tex](x_1,y_1)[/tex] → [tex](0, 4)[/tex]
[tex](x_2,y_2)[/tex] → [tex](-2, 0)[/tex]
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m\frac{0-4}{-2-0}[/tex]
[tex]m = \frac{-4}{-2}[/tex]
[tex]m = \frac{4}{2}[/tex]
[tex]m = 2[/tex]
Step 3: Make an equation
[tex]y = mx + b[/tex]
[tex]y = (slope)x + (y-intercept)[/tex]
[tex]y = 2x + 4[/tex]
Answer: [tex]Option \ H, y = 2x + 4[/tex]
