First, we need to find the slope of the line using the formula:
m = (y2 - y1) / (x2 - x1)
Where:
(x1,y1) = (1,3)
(x2,y2) = (0,-2)
m = (-2 - 3) / (0 - 1)
m = -5 / -1
m = 5
Now that we have the slope, we can use the point-slope form of the equation of a line to find the equation in slope-intercept form (y = mx + b):
y - y1 = m(x - x1)
Using the point (1,3):
y - 3 = 5(x - 1)
y - 3 = 5x - 5
y = 5x - 5 + 3
y = 5x - 2
Therefore, the equation of the line in slope-intercept form is y = 5x - 2.
Use the graph to derive the equation of the line in slope-intercept form.
(1,3)(0,-2)
1 answer
1 answer