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Chapter 3: Q 463R (page 357)

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

slope m=35, point10,6.

Short Answer

Expert verified

The slope-intercept form of the line equation with the slope m=35and passes through the point10,6isy=35x.

Step by step solution

01

Given information

The slope is m=35and the point is10,6.

02

Definitions

The point-slope form of a line equation that passes through the point x1,y1with slope mis y-y1=mx-x1.

The slope-intercept form of the line equation isy=mx+b.

03

Simplify

Here, x1,y1=10,6,m=35.

Substitute these values in y-y1=mx-x1.

y-6=35x-10y-6=35x-35路10y-6=35x-6y=35x

The line equation isy=35x.

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Most popular questions from this chapter

Find the intercepts of the equation5x-y=5.

In the following exercise, use the graph of the function to find its domain and range. Write the domain and range in interval notation.

Determine whether each equation is a function.

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  3. y=5x-4

Use the slope formula to find the slope of the line between each pair of points.

4,-5,1,-2.

Determine whether each graph is the graph of a function.
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