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Chapter 4: Q. 449 (page 539)

find the equation of a line containing the points (0,0) and (1,4) .Write the equation in slope–intercept form.

Short Answer

Expert verified

Equation of the line is y=4x

Step by step solution

01

Step 1. Given information 

Two points are (0,0) and (1,4)

02

Step 2.  Equation of the line

Slope of the line is

m=y2-y1x2-x1m=4-01-0=4

Equation of the line passes through (0,0) and slope =4 is

y-y1=mx-x1y-0=4(x-0)y=4x

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Most popular questions from this chapter

In the following exercises, find the equation of a line with a given slope and y-intercept. Write the equation in slope-intercept form.

389.Slope 8and y-intercept (0,-6).

Find the equation of the line shown in the graph. Write the equation in slope–intercept form.

Plot each point in a rectangular coordinate system and identify the quadrant in which the point is located:

ⓐ (−2,1) ⓑ (−3,−1) ⓒ (4,−4) ⓓ (−4,4)ⓔ (-4,32)

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

y=−4x+5

Complete the table to find three solutions to this equation:
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