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Chapter 3: Q. 226 (page 294)

Find the equation of the line with the slope m=-35, containing the point (10,-5). Write the equation in slope-intercept form.

Short Answer

Expert verified

The equation of the line in the slope-intercept form isy=-35x+1

Step by step solution

01

Step 1. Given information

The slope of the line is m=-35and the point on the line is (10,-5).

Since we are given the slope and the point on the line, we can make use of the slope-point form to find the equation of the line.

02

Step 2. Formula

  • The slope-intercept form of the equation of the line is y=mx+bwhere mis the slope and bis the y-intercept.
  • The point-slope form of the equation of a line with the slope mand the point(x1,y1)isy-y1=m(x-x1)
03

Step 3. Finding the equation of the line and writing it in slope-intercept form

The slope of the line is m=-35and the point is (10,-5)

By the slope-point form, we have that,

y-y1=m(x-x1)y-(-5)=-35(x-10)y+5=-35x+(3脳10)5y=-35x+6-5y=-35x+1

Therefore the equation of the line in the slope-intercept form isy=-35x+1

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Most popular questions from this chapter

Graph the equation x+y=-3using the intercepts.

a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.

f(x)=5.

In the following exercises, graph each function state its domain and range. Write the domain and range in interval notation.

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