4.3 Homework Problems: Slope Intercept Form and Point Slope Form

1. Identify the slope and intercept for the given linear equation

a. y = [latex]\frac{1}{2}[/latex] x + 3

b. 2y = 4x + 8

c. 3x + 6y = 9

2. Find the slope of the line through the ordered pairs

a. (5,1) and (-3,0)

b. ([latex]\frac{7}{2}[/latex], [latex]\frac{3}{4}[/latex]) and ([latex]\frac{1}{2}[/latex], -3)

3. Find the slope and intercept through the ordered pairs

a. (2,4) and (-1,3)

b. (4,100) and (20,420)

4. Write each equation in slope – intercept form. Then graph the line.

a. x + 5y = 10

b. 5x – 2y + 5 = 0

5. Find the slope – intercept equation for the lines given as an ordered pair and slope

a. (0,9) where m = -1

b. (2,-3) where m = [latex]-\frac{5}{6}[/latex]

6. Find the slope and a point on the line. Then graph the line

y + 6 = [latex]\frac{1}{3}[/latex](x – 7)

7. Write the following in point slope form and then graph the line

([latex]\frac{5}{2}[/latex], 0) and (2, [latex]-\frac{1}{3}[/latex])

8. Determine the equation for the line that is parallel to 7x – 3y = 1 that goes through (-1,1). Graph both lines

9. Determine the equation for the line that is perpendicular to 2x + y = 5 that goes through (6,-1). Graph both lines

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