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Chapter 4: Q13. (page 218)

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 0y=x+2.

Step by step solution

01

Step 1. Write the equation of the line parallel to the y-axis and passing through the point (a,0).

The equation of the line parallel to the y-axis and passing through the point(a,0) is:x=a

02

Step 2. Write the equation of the line. 

From the given graph, it can be noticed that the given graph is a line parallel to the y-axis and passing through the point (鈭�2,0).

Therefore, the values of is 鈭�2.

Therefore, the equation of the line is:

x=ax=鈭�2

03

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

Rewrite the equation x=鈭�2in the slope-intercept form to find the equation of the given graph in slope-intercept form.

Therefore, it is obtained that:

x=鈭�2x+2=0x+2=0y

Therefore, the equation of the given graph in slope-intercept form is 0y=x+2.

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Most popular questions from this chapter

Write each equation in standard form.

y鈭�5=鈭�2x鈭�3

Graphy=2x鈭�3.

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.

If the graph of a line has a positive slope and a negativey-intercept, what happens to thex鈥搃ntercept if the slope and they鈥搃ntercept are doubled?

F Thex鈥搃ntercept becomes four times as great.

G Thex鈥搃ntercept becomes twice as great.

H Thex鈥搃ntercept becomes one-fourth as great.

J Thex鈥搃ntercept remains the same.

Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation.

(2,5),y=x鈭�3

Determine whether the graphs of the pairs of equations are parallel, perpendicular, or neither.

y=鈭�6x+83x+12y=鈭�3

F parallel

G perpendicular

H neither

J not enough information
See all solutions

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