Question

I NEED HELP ASAP PLEASE

Answer 1

We know that in order to solve a math problem, we need an equation. Luckily there's an equation to find the slope and intercept of a (straight) line!

Because of the equation:

Y = mx + b

You can use it to find the Y intercept, and then therefore slope (or the other way around)!

First, look at the point where the line meets with the y axis.

It's not clear, but it's 7.

That's your 'Y intercept'. Easy!

Then, to find the slope. There are a couple of ways to find it, but I'll show you the one using the y = mx + b equation.

In the equation, 'b' represents the Y intercept. Since we already know our Y intercept on the graph is 7, we can plug that into the equation.

Y = mx + 7

What's m? M is the slope of the line. In order to find this, we need more numbers to work with. Numbers from the line's coordinate points.

Since coordinates in a graph have x and y, we can plug in any coordinate from the graph's line into our equation (y = mx +7).

I choose...this point (points at random coordinate on line).

(3, 10) aka (x, y)

It's on the line, right? So it will be a reliable x and y.

Put the numbers in...

10 = 3m + 7

This looks a bit easier, right? Now we solve for m (the slope)!

Combine like terms.

10 - 7 = 3m

Divide the 3.

3/3 = m

m = 1.

That's your slope!

So, taking the solution, we can determine that the slope of the line is 1, and the intercept of the line is 7.

Y = x + 7

Hope it helps! This is the most I can do for you :)