Question

th the given slope and y- intercept

1. m = -1, b = -6

form of the equation for each line
8)

Explanation:

Step1: Recall slope-intercept form

The slope-intercept formula is $y = mx + b$, where $m$ is slope, $b$ is y-intercept.

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For problem 5:

Step2: Substitute m=-1, b=-6

$y = (-1)x + (-6)$

Step3: Simplify the equation

$y = -x - 6$

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For problem 8:

Step2: Identify y-intercept (b)

The line crosses y-axis at $(0,2)$, so $b=2$.

Step3: Calculate slope (m)

Use points $(0,2)$ and $(3,4)$:
$m = \frac{4-2}{3-0} = \frac{2}{3}$

Step4: Substitute m and b into formula

$y = \frac{2}{3}x + 2$

Answer:

1. For problem 5: $y = -x - 6$
2. For problem 8: $y = \frac{2}{3}x + 2$