Question

question 6: standard g.gpe.5 what slope would a line have that is parallel to a line having a slope m=2? a. 2 b. 3 c. 4 d. 5 question 7: standard g.gpe.5 what slope would a line have that is parallel to a line having a slope m=-3/4? a. 4/3 b. 4 c. 3 d. -3/4 question 8: standard g.gpe.5 what slope would a line have that is perpendicular to a line having a slope m=1/3? a. -3 b. 3 c. 4 d. 1 question 9: standard g.gpe.5 what slope would a line have that is perpendicular to a line having a slope m=-8? a. 8 b. 1/8 c. -1/8 d. 1 question 10: standard g.gpe.5 write the equation for a line with slope of 4 and y intercept of 2. a. y=2x+4 b. y=4x c. y=4x+2 d. y=x2

Explanation:

Question 6

Step1: Recall parallel lines slope rule

Parallel lines have equal slopes. So if a line has slope \( m = 2 \), a parallel line will also have slope \( 2 \).

Step1: Recall parallel lines slope rule

Parallel lines have equal slopes. So if a line has slope \( m = -\frac{3}{4} \), a parallel line will also have slope \( -\frac{3}{4} \).

Step1: Recall perpendicular lines slope rule

Perpendicular lines have slopes that are negative reciprocals. If a line has slope \( m=\frac{1}{3} \), the negative reciprocal is \( - 3 \) (since \( \frac{1}{3}\times(-3)=-1 \)).

Answer:

a. 2

Question 7