Please help me find the equation fully simplified in slope-intercept form

y = -3x +7

Step-by-step 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.

75

step-by-step explanation: