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Chapter 3: Q 189. (page 293)

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

(0,4)and(2,-3)

Short Answer

Expert verified

The equation obtained is:y=-72x+4

Step by step solution

01

Step 1. Given Data

Points: (0,4)and(2,-3)

02

Step 2. Finding the slope using given points

The slope of the line through (0,4)and(2,-3):

m=y2-y1x2-x1(1)where,y2=-3y1=4x2=2x1=0Puttingvaluesin(1),wegetm=-3-42-0=-72m=-72

03

Step 3. Point slope form. 

Choose one point

let's take point (2,-3)

Now,

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

y-y1=m(x-x1)y-(-3)=-72(x-2)y+3=-72x+7

04

Step 4. Converting equation in slope-intercept form.

y+3=-72x+7y=-72x+7-3y=-72x+4

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