The coordinates of the given points are (-10, 5), and (-5, 6). (you can use the other two points as well). To get from the first coordinate to the second coordinate, you rise by 1 and go over by 5. The formula for slope is rise over run, so the slope of the graph is 1/5.
Now, we plug that into the slope-intercept equation, to get y = 1/5 x + b.
All that is left to do is plug in any value into our equation to find b. I will choose the point (5, 8).
We get:
8 = 1/5 (5) + b
8 = 1 + b
7 = b
Our complete equation is 1/5 x + 7.
The coordinates of the given points are (-10, 5), and (-5, 6). (you can use the other two points as well). To get from the first coordinate to the second coordinate, you rise by 1 and go over by 5. The formula for slope is rise over run, so the slope of the graph is 1/5.
Now, we plug that into the slope-intercept equation, to get y = 1/5 x + b.
All that is left to do is plug in any value into our equation to find b. I will choose the point (5, 8).
We get:
8 = 1/5 (5) + b
8 = 1 + b
7 = b
Our complete equation is 1/5 x + 7.