Question

Use the graph derive the equation of the line in slope intercept form
O,-4
1,-1

Answer 1

To find the slope of the line, we use the formula:

m = (y2 - y1) / (x2 - x1)

Using the points (0,-4) and (1,-1):

m = (-1 - (-4)) / (1 - 0)
m = (3) / (1)
m = 3

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (0,-4) and the slope m = 3:

y - (-4) = 3(x - 0)
y + 4 = 3x
y = 3x - 4

Therefore, the equation of the line in slope-intercept form is y = 3x - 4.