Question

line, then graph the equation.

1. $y = -dfrac{1}{4}x + 3$

$m = $
$b = $

1. $y = 3x - 7$

$m = $
$b = $

Explanation:

Step1: Identify slope (m) for #12

The equation is in slope-intercept form $y=mx+b$, so $m$ is the coefficient of $x$.
$m = -\frac{1}{4}$

Step2: Identify y-intercept (b) for #12

In $y=mx+b$, $b$ is the constant term.
$b = 3$

Step3: Identify slope (m) for #14

The equation is in slope-intercept form $y=mx+b$, so $m$ is the coefficient of $x$.
$m = 3$

Step4: Identify y-intercept (b) for #14

In $y=mx+b$, $b$ is the constant term.
$b = -7$

Step5: Graph for #12

1. Plot y-intercept $(0, 3)$.
2. Use slope: move 4 right, 1 down to $(4, 2)$, plot the point.
3. Draw a line through the points.

Step6: Graph for #14

1. Plot y-intercept $(0, -7)$.
2. Use slope: move 1 right, 3 up to $(1, -4)$, plot the point.
3. Draw a line through the points.

Answer:

For problem 12:
$m = -\frac{1}{4}$
$b = 3$
(Graph: Line through $(0,3)$ and $(4,2)$)

For problem 14:
$m = 3$
$b = -7$
(Graph: Line through $(0,-7)$ and $(1,-4)$)