How Do You Write the Equation of a Line in Slope-Intercept Form If You Have a Graph?

'm' stands for the slope, and 'b' stands for the y-intercept
We can pick any two points on our line to find the slope, so we'll pick the x- and y-intercepts
Intercepts are the points where the line crosses the x- and y-axis
∆ means 'change in', so the slope is equal to the change in y over the change in x
We can label (-3,0) as (x₁, y₁)
We can label (0,5) as (x₂, y₂)

1. The y-intercept is the point where the line crosses the y-axis
2. 'b' is the y-value of the y-intercept
1. We need to pick any two points on our line to figure out the slope
2. Let's pick the x- and y-intercepts, since these are easy to find
3. The x-intercept is where the line crosses the x-axis, so the y-coordinate will be 0
4. The y-intercept is where the line crosses the y-axis, so the x-coordinate will be 0
1. Remember, the slope of a line is the change in y over the change in x
2. We can write this with variables as m=(y₂-y₁)/(x₂-x₁)
3. 'm' stands for the slope, and (x₁, y₁) and (x₂, y₂) are points on the line
1. Remember, the formula for the slope is m=(y₂-y₁)/(x₂-x₁) where 'm' stands for the slope
2. (x₁, y₁) is (-3,0)
3. (x₂, y₂) is (0,5)
4. So we can plug (-3,0) in for (x₁,y₁) and (0,5) in for (x₂,y₂) in the slope formula
1. Remember, the y-intercept is where the line crosses the y-axis
1. Since we have the slope and the y-intercept, we can just plug them into slope-intercept form
2. Remember, slope intercept form is y=mx+b
3. The slope was 5/3, so we can plug that in for 'm'
4. The y-intercept was 5, so we can plug that in for 'b'

Write an equation in slope-intercept form for the graphed line.