Answer:
y = -3x +7
Explanation:
Slope intercept form is y = mx + b, and needs two things, the slope (m) and the y-intercept (b) of a line. The slope is the rise/run and the y-intercept is where the line crosses the y-axis.
From the graph, it is easy to see the y-intercept (b). The line crosses the y-axis at 7.
Next, you need to fine the slope. All you have to do is pick a point on the line and plug it into the equation y = mx + b, since you already have the y-intercept.
Let's pick an easy point like (2, 1). x = 2 and y = 1
y = mx + b
1 = m(2) + 7
To isolate m, you can first subtract 7 on both sides.
Simplifying, you would get:
-6 = m(2)
To solve for m, you just need to divide both sides by 2.
So, m = -3.
Now, you have everything you need! m = -3 and b = 7.
The equation is y = -3x +7.