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# Equations of lines Find an equation of the lines with the ISBN: 9780321570567 2

## Solution for problem 3RE Chapter 1

Calculus: Early Transcendentals | 1st Edition

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Problem 3RE

Equations of lines Find an equation of the lines with the following properties. Graph the lines. a. The line passing through the points (2, ?3) and (4, 2) b. The line with slope ? and x? -intercept (?4, 0) c. The line with intercepts (4, 0) and (0, ?2)

Step-by-Step Solution:

Step-by-step solution Step 1 a) We need to find the equation of the line passing through the points (2, -3) and (4, 2). Step 2 To solve the problem, we use the Point-Slope Form of the equating of a line yy =1m(xx ) 1 with slope = m = y21  x21 Step 3 Substituting  into , we get: yy = ( y21)(xx )  1 x21 1 Step 4 Using the given points (2, -3) and (4, 2) and  to find the equation of the line, we get: 2(3) y(3) = ( 42 )(x2)  Step 5 Simplifying and rearranging  i nto lope-Intercept Form, we get: y+3 = (x2) 2 y = x8 2 Step 6 Therefore, the equation for the line passing through the points (2, -3) and (4, 2) is: 5 y = x28 The graph of the function is shown below: Step 7 3 b) We need to find the equation of the line with slope 4 and x-intercept (-4, 0). Step 8 To solve the problem, we use the P oint-Slope Form of the equating of a line. yy = 1(xx )  1 Step 9 3 Using the given slope , x4intercept (-4, 0) and  to find the equation of the line, we get: y(0) = (x(4))  4

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Step 11 of 17

##### ISBN: 9780321570567

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Equations of lines Find an equation of the lines with the

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