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McGraw Hill Glencoe Algebra 1, 2012

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McGraw Hill Glencoe Algebra 1, 2012 View details

4. Parallel and Perpendicular Lines

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Exercise 65 Page 245

Substitute the given point and slope into the slope-intercept form of an equation.

y=- 5x-6

Practice makes perfect

Equations in slope-intercept form follow a certain format. y= mx+ b In this form, m is the slope and b is the y-intercept. The line has a slope of - 5 which means that we can substitute m= - 5. y= - 5x+ b By substituting the given point ( -2, 4) into the above equation for x and y, we can solve for y-intercept b.

y=- 5x+b

x= - 2, y= 4

4=- 5( - 2)+b

▼

Solve for b

MultNegNegOnePar

- a(- b)=a* b

4=10+b

LHS-10=RHS-10

- 6=b

Rearrange equation

b= - 6

Now that we have both the slope and the y-intercept, we can write the final equation. y= - 5x+( - 6) ⇔ y= - 5x - 6

Subchapter links

Check Your Understanding p.242

Practice and Problem Solving p.243-244

H.O.T. Problems p.244

Standardized Test Practice p.245

Spiral Review p.245

Skills Review p.245