76.6k views
7 votes
Please help me find the equation fully simplified in slope-intercept form!!!!

Please help me find the equation fully simplified in slope-intercept form!!!!-example-1
User Johan D
by
7.0k points

1 Answer

6 votes

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.

User Avijendr
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories