Question

1. slope = - 8/3, y - intercept = 3

y=-8/3x + 3

1. slope=-1, y - intercept=-1

y=-1x - 1
write the slope - intercept form of the equation of each line.
17)
18)
m = 7/4
b = 4
y = 7/4x+4
19)
m = 7/1
b=-4
y=
20)

Explanation:

Step1: Recall slope - intercept form

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

Step2: Solve for problem 19

Given $m = 7$ and $b=-4$, substitute into the slope - intercept form. We get $y=7x - 4$.

Step3: For problem 20

First, find two points on the line. Let's assume the points are $(-1,3)$ and $(0,1)$.
The slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{1 - 3}{0+1}=-2$.
The y - intercept $b = 1$ (the y - value when $x = 0$).
Substitute $m=-2$ and $b = 1$ into $y=mx + b$, we get $y=-2x + 1$.

Answer:

1. $y = 7x-4$
2. $y=-2x + 1$