Use the graph to derive the equation of the line in slope-intercept form.
The line goes through points (0,-2) and (1,3)
First, we need to find the slope of the line using the two points given:
slope (m) = (change in y) / (change in x)
m = (3 - (-2)) / (1 - 0)
m = 5 / 1
m = 5
Next, we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
Choose one of the points to plug in (0,-2):
y - (-2) = 5(x - 0)
y + 2 = 5x
Now, we can rewrite this equation in slope-intercept form (y = mx + b) by isolating y:
y = 5x - 2
So the equation of the line in slope-intercept form is y = 5x - 2.