Question

Help me out please!!!!!!

Answer 1

Step-by-step explanation:

We need 2 things in order to write slope-intercept equations: the slope, and the y-intercept. Remember that the form is $y=mx+b$, where $m$ is slope and $b$ is y-intercept. All of the lines show the y-intercept, but not the slope. We can calculate slope using two points on the line and the slope equation, $m=\frac{y2-y1}{x2-x1}$.

1.  Two points: (1,-3) and (0,4)

$m=\frac{4-(-3)}{0-1}=\frac{7}{-1}=-7$

So the equation would be: $y=-7x+4$

2. Points: (-1,-2) and (0,1)

$m=\frac{1-(-2)}{0-(-1)}=\frac{3}{1}=3$

Equation: $y=3x+1$

3. Points: (0,5) and (-2,4)

$m=\frac{4-5}{-2-0}=\frac{-1}{-2} =\frac{1}{2}$

Equation: $y=\frac{1}{2}x+5$

4. Points: (0,-2) and (-4,1)

$m=\frac{1-(-2)}{-4-0}=\frac{3}{-4}=-\frac{3}{4}$

Equation: $y=-\frac{3}{4}x-2$

Hope this helps!

Answer 2

1) 4
2) 1
3) 5
4) -2

I think that is right, I’m not 100%