1,-1 0,-4

Question

derive the equation of the line in slope, intercept form

Answer 1

To find the equation of the line in slope-intercept form, we first need to find the slope of the line using the two points given.

First, find the slope using the formula:

slope = (y2 - y1) / (x2 - x1)
slope = (-4 - (-1)) / (0 - 1)
slope = (-4 + 1) / -1
slope = -3 / -1
slope = 3

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

y - y1 = m(x - x1)
where m is the slope, and (x1, y1) is a point on the line.

Let's use the point (1, -1):

y - (-1) = 3(x - 1)
y + 1 = 3x - 3
y = 3x - 3 - 1
y = 3x - 4

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