Choose values for a and b so that the system of equations shown has infinitely many solutions. y = ax + 5 and y = 7x + b*

A: a = -7, b = -5

B: a = 7, b = -5

C: a = -7, b = 5

D: a = 7, b = 5

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

1) 2/5

2) zero=0/1

3) zero=0/2

4) -4/5

5) undefined=3/0