Question

write in slope-intercept form the equation of the line with the given slope and y-intercept.

1. $m=2, b=-1$
2. $m=-\frac{1}{4}, b=3$
3. $m=61, b=9$
4. $m=\frac{1}{4}, b=-3$
5. $m=-3, b=3$
6. $m=0, b=4$

Explanation:

Step1: Recall slope-intercept formula

The slope-intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Step2: Substitute values for 1

Substitute $m=2$, $b=-1$ into $y=mx+b$
$y = 2x + (-1)$ or $y = 2x - 1$

Step3: Substitute values for 2

Substitute $m=-\frac{1}{4}$, $b=3$ into $y=mx+b$
$y = -\frac{1}{4}x + 3$

Step4: Substitute values for 3

Substitute $m=61$, $b=9$ into $y=mx+b$
$y = 61x + 9$

Step5: Substitute values for 4

Substitute $m=\frac{1}{4}$, $b=-3$ into $y=mx+b$
$y = \frac{1}{4}x + (-3)$ or $y = \frac{1}{4}x - 3$

Step6: Substitute values for 5

Substitute $m=-3$, $b=3$ into $y=mx+b$
$y = -3x + 3$

Step7: Substitute values for 6

Substitute $m=0$, $b=4$ into $y=mx+b$
$y = 0x + 4$ or $y = 4$

Answer:

1. $y = 2x - 1$
2. $y = -\frac{1}{4}x + 3$
3. $y = 61x + 9$
4. $y = \frac{1}{4}x - 3$
5. $y = -3x + 3$
6. $y = 4$