Answer:
y = 2x - 1
Step-by-step explanation:
The equation of a line is typically in the form of: y = mx + b, where m = slope and b = y-intercept. In the given graph, you have two points: (4, 7) and (2, 3). First you can find slope using the slope formula:
[tex]\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}=\frac{(7-3)}{(4-2)}=\frac{4}{2}=2[/tex]
Since slope = 2, we just need to find 'b' in order to finish our equation. We can use the point (4, 7) for the values of 'x' and 'y' to solve for 'b':
y = mx + b or 7 = (2)(4) + b
7 = 8 + b or b = -1
y = 2x - 1
