Question

1. what letter represents the slope in the equation $y = mx + b$ ?

a $m$
c $x$
b $b$
d $y$

1. in the following equation, what is the y-intercept?

$y = -3x + 7$
a 7
c -3
b $\frac{-3}{7}$
d 3

1. what is the slope in the equation: $y=4x+3$

a 4
c 3
b $4x$
d $x$

1. if $m=3$ and $b=6$, what is the correct slope intercept equation?

a $y=3-6$
c $y=3x+6$
b $y=6x+3$
d $y=3x-6$

Explanation:

1. In the slope-intercept form $y=mx+b$, $m$ denotes the slope, the rate of change of $y$ with respect to $x$.
2. In $y=mx+b$, $b$ is the y-intercept, the value of $y$ when $x=0$. For $y=-3x+7$, this value is 7.
3. In $y=mx+b$, $m$ is the slope. For $y=4x+3$, the coefficient of $x$ is 4, which is the slope.
4. Substitute $m=3$ and $b=6$ into the slope-intercept formula $y=mx+b$ to get the equation.

Answer:

1. A. m
2. A. 7
3. A. 4
4. C. y=3x+6