Question

Write an equation in slope-intercept form that passes through each pair of points. (0, 1) (-3, 1)

Answer 1

Answer:

$y = \frac{0}{ - 3} + b$

Step-by-step explanation:

Slope intercept formula is y=mx+b

(m) is slope

(b) is the y intercept

We'll find slope first.

slope formula is

$\frac{y2 - y1}{x2 - x1}$

y2 and x2 are the y and x values of the second equation and y1 and x2 are the y and x values of the first equation.

So we just put the given values into our equation.

$\frac{1 - 1}{ - 3 - 0}$

Simplify

$\frac{0}{ - 3}$

Now we put this into our y=mx+b

y=0/-3x+b

now we need the (b)

to do this we take the values of one of the coordinates (doesn't matter which) and replace the (y) and (x) in our equation with them.

$y = \frac{0}{ - 3} x + b$

$1 = \frac{0}{ - 3} (0) + b$

Solve

1=0+b

b=1

Put this in our formula

$y = \frac{0}{ - 3} + 1$

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!