If you change the slope in the equation y = 3x + 1 to y = 7x + 1, how will its graph change? a. it will increase at a faster rate than before. b. it will increase at a slower rate than before. c. the starting value will increase. d. the starting value will decrease.

I'm pretty sure that the answer is A, the line would set steeper because the value of x is larger

The answer is A.

It will increase at a faster rate because the coefficient in front of x is much bigger.

You can test this by plugging a few numbers into both equations:

plug 1, 2, and 3 into both:

y=3x+1

plug in 1 and you get 3+1 = 4
plug in 2 and you get 6+1 = 7
plug in 3 and you get 9+1 = 10

y=7x+1

plug in 1 and you get 7+1 = 8
plug in 2 and you get 14+1 = 15
plug in 3 and you get 21+1 = 22

as you can see, by making the number in front of x bigger the y values increase at a faster rate.

Hope this helps, and May the Force Be With You!

-Jabba