If you change the slope in the equation y= 5x + 7 to y = 2x + 7 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

If we see an equation in the form y=mx+c (where m and c are just some numbers), but the important thing is that the left hand side is "y" and not "2y" or "3y", then the m is the slope.

So y=5x+7 has a slope of 5 (the number before the x)
And y=2x+7 has a slope of 2 (the number before the x)

So as you move from left to right, the one with greater slope will increase y value faster. Just like if you were climbing two mountains. If you went for 1 kilometre up a really steep mountain, you would be higher up than if you went for 1 kilometre up a less steep mountain.

Another way of saying this is that by changing an equation from  slope 5 (steep) to slope=2 (less steep), then "It will increase at a slower rate than before"

Answer B

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