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 :)
I'm pretty sure it's an infinite number of lines
