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Chapter 3: Q. 222 (page 294)

Find the equation of the line with the slope m=56and containing the point (6,7). Write the equation in slope-intercept form.

Short Answer

Expert verified

The slope-intercept form of the equation of a line having the slope m=56and containing the point(6,7)isy=56x+2.

Step by step solution

01

Step 1. Given information

The slope of the line is m=56

The point on the line is 6,7

To find the equation of the line in the slope-intercept form, we will use the slope-point formula.

02

Step 2. Formula

  • The slope-intercept form of the equation of a line having the slope mand the y-intercept bis y=mx+b
  • The slope-point form of an equation of a line with the slope m and the pointx1,y1isy-y1=m(x-x1)
03

Step 3. Equation of the line in the slope-intercept form

The given point is x1,y1=(6,7)and the slope ism=56

Using the slope-point formula, we have

localid="1644486376928" y-y1=m(x-x1)y-7=56(x-6)y-7=56x-(5脳6)6y=56x-5+7y=56x+2

Therefore, the slope-intercept form of the equation of the line isy=56x+2

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