68.1k views
4 votes
What is the equation of the line in slope-intercept form?

What is the equation of the line in slope-intercept form?-example-1
User AviD
by
7.9k points

1 Answer

6 votes

Answer:


y=(3)/(5)x+3

Explanation:

Slope-intercept form is the most common form of a linear function.

Formula

The formula for slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. In this question, we must find both m and b by looking at a graph.

Slope

The slope is the change in y over the change in x. So, one way to find the slope is to identify 2 points on the graph and count the difference between them.

  • For example, the points (-5,0) and (0,3). First, the y-value increases by 3. Then, the x-value increases by 5. This gives us the final slope,
    \displaystyle(3)/(5).

Another way to find the slope is to use the formula
\displaystyle(y_(2)- y_(1) )/(x_(2)- x_(1) ). You can plug in the values from both points and solve to get the same answer.

Y-Intercept

The y-intercept is easy to find from a graph. The y-intercept is wherever the line intersects with the y-axis (the vertical axis). In this case, the line intersects at y-value 3. So, 3 is the b-value in the equation.

Final Equation

Using the information above, we can say that the equation of the line in slop-intercept form is
y=(3)/(5)x+3.

User Masoud Keshavarz
by
8.5k 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