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Chapter 4: Q. 4.83 (page 500)

Identify the slope and y-intercept of the given line

x+4y=8.

Short Answer

Expert verified

The slope is, m=-14and the y-intercept is (0,2).

Step by step solution

01

Step 1. Given information.

Given equation,

x+4y=8.

02

Step 2. This equation is not in slope-intercept form.

In order to compare it to the slope-intercept form, we must first solve the equation for y.

Solve for y,

x+4y=8鈬�4y=-x+8鈬�y=-14x+2

03

Step 3. Now Simplify, We compare our equation to the slope-intercept form of the equation.

Write the slope-intercept form of the equation of the line.

y=mx+c...(1)

And the equation of the line,

y=-14x+2...(2)

Compare equations 1 and 2 and identify the slope and y-intercept.

The slope is, m=-14and the y-intercept is (0,2).

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Most popular questions from this chapter

In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located.

鈸� (鈭�4,2)鈸� (鈭�1,鈭�2)鈸� (3,鈭�5)鈸� (鈭�3,5) 鈸�(53,2)

Plot each point: 鈸� (4, 0) 鈸� (鈭�2, 0) 鈸� (0, 0) 鈸� (0, 2) 鈸� (0, 鈭�3) .

Find the intercepts forx+2y=8

Name the ordered pair of each point shown in the rectangular coordinate system.

In the following exercises, find three solutions to each linear equation.

3x+y=5
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