Slope-intercept form: y = mx + b (m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y))
To find the slope(m), you can use the slope formula and plug in 2 points:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
(x₁ , y₁) = (0, 2)
(x₂ , y₂) = (4, 5)
[tex]m = \frac{5-2}{4-0}[/tex]
[tex]m = \frac{3}{4}[/tex]
[slope is also [tex]m=\frac{rise}{run}[/tex] "rise" is the number of units you go up(+ number) or down(negative number). "run" is the number of units you go to the right. If your slope for example is 2, you go up 2 units and to the right 1 unit. If your slope is -2, you go down 2 units and to the right 1 unit.]
^ you could just look at the graph and see how many units a point goes up or down and to the right to get to the next point (goes up 3, to the right 4)
[tex]y=\frac{3}{4} x+b[/tex] To find b, plug in either of the 2 points into the equaation
(0,2)
[tex]2=\frac{3}{4}(0)+b[/tex]
2 = b
[tex]y = \frac{3}{4}x + 2[/tex]
