Question

How do i find the slope

Answer 1

Answer: m = 1

Explanation:

It is important to note that this graph is of a linear equation, meaning the formula for the line will be in slope-intercept form.

Slope-Intercept form:
`y = mx + b`

The slope formula is m = rise / run or
`(y2 - y1)/(x2 - x1)`

We can use
`(y2 - y1)/(x2 - x1)` by identifying a set of coordinates on the graph where the line passes through the y-axis and the x-axis. This would be (0,1) and (-1,0). Now that you have your set of coordinates, you can plug in the values for X and Y. Remember: a coordinate point is (X,Y).

(0,1)(-1,0) ⇒
`((0 - 1))/((-1 - 0))` =
`(-1)/(-1) = 1`

m (slope) = 1

Answer 2

to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below.

`(\stackrel{x_1}{-4}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{4}-\stackrel{y1}{(-3)}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{(-4)}}} \implies \cfrac{4 +3}{3 +4} \implies \cfrac{ 7 }{ 7 } \implies 1`