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Write an equation in slope-intercept form for each graph shown.

Short Answer

Expert verified

The equation in slope-intercept form for the given graph is y=15x+1.

Step by step solution

01

Step 1. Write the slope-intercept form of a line and intercept form of the line.

The equation of line in slope-intercept form is:

y=mx+b

Where mis the slope of the line and bis the y-intercept of the line.

The equation of line in intercept form is:

xa+yb=1

Wherea andb are the x- and y-intercepts of the line.

02

Step 2. Write the equation of the given graph in intercept form.

From the given graph, it can be noticed that the x- and y-intercepts of the given graph are 5 and 1 respectively.

Therefore, the values of aand bare 5 and 1 respectively.

Therefore, the equation of the line in intercept form is:

xa+yb=1x5+y1=1

03

Step 3. Write the equation of the given graph in slope-intercept form.

Rewrite the equation x5+y1=1in the slope-intercept form to find the equation of the given graph in slope-intercept form.

Therefore, it is obtained that:

x5+y1=1x5+y=1y=x5+1y=15x+1

Therefore, the equation of the given graph in slope-intercept form is y=15x+1.

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