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Chapter 3: Q 190. (page 293)

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

(0,-2)and(-5,-3)

Short Answer

Expert verified

The equation obtained is:y=15x-2

Step by step solution

01

Step 1. Given Data

Points:(0,-2)and(-5,-3)

02

Step 2. Finding the slope using given points

The slope of the line through(0,-2)and(-5,-3):

m=y2-y1x2-x1(1)where,y2=-3y1=-2x2=-5x1=0Puttingvaluesin(1),wegetm=-3-(-2)-5-0=-3+2-5=-1-5=15m=15

03

Step 3. Point slope form. 

Choose one point,

let's take point(0,-2)

Now,

Substitute the values in the point-slope form which is:

y-y1=m(x-x1)y-(-2)=15(x-0)y+2=15x

04

Step 4. Converting equation in slope-intercept form.

y+2=15xy=15x-2

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Most popular questions from this chapter

In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither.

y=-1 andy=2

Find the x- and y-intercepts.

Determine whether each equation is a function.

  1. x+y2=4
  2. y=x2-7
  3. y=5x-4

Graph the equation by plotting points .

y=-2x+4

Graph: f(x) = 3
See all solutions

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