Use the graph to derive the equation of the line and slope intercept form one, three zero, -2
To find the equation of the line in slope-intercept form, we first need to determine the slope of the line.
From the given points (1, 3) and (0, -2), we can calculate the slope using the formula:
m = (y2 - y1) / (x2 - x1)
m = (-2 - 3) / (0 - 1)
m = -5 / -1
m = 5
Now that we have the slope, we can use the point-slope formula to find the equation of the line:
y - y1 = m(x - x1)
y - 3 = 5(x - 1)
Expanding and simplifying:
y - 3 = 5x - 5
y = 5x - 2
Therefore, the equation of the line in slope-intercept form is y = 5x - 2.