Answer: y = 2x - 7
Step-by-step explanation:
To write a slope-intercept form equation, we need the slope and the y-intercept of the linear equation. These are both given to us in the graph.
To find the slope, we can use the following formula. It finds the change in the y coordinates and divides by the change in the x coordinates. We will use the coordinate points (0,- 7) and (2, -3).
[tex]\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} } =\frac{-7--3}{0-2}=\frac{-4}{-2} =2[/tex]
To find the y-intercept, we will find where on the graph the line intersects the y-axis. This is at (0, -7), so our y-intercept is -7.
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
y = mx + b
y = (2)x + (-7)
y = 2x - 7
