graph has 1,1-1 and 0,-4 on it

Question

using the graph derive the equation of the line in the slope-intercept
3x-y=4
y=-3x-4
y=3x-4
y=3x+4

Answer 1

The equation of the line can be determined by using the given points (1,1) and (0,-4).

First, let's find the slope (m) of the line using the formula:
m = (y2 - y1) / (x2 - x1)

Using the points (1,1) and (0,-4), we have:
m = (-4 - 1) / (0 - 1) = -5 / -1 = 5

Now that we have the slope, we can use the point-slope form of a line to determine the equation:
y - y1 = m(x - x1)

Using the point (1,1), we have:
y - 1 = 5(x - 1)

Simplifying this equation gives:
y - 1 = 5x - 5
y = 5x - 4

Therefore, the equation of the line in slope-intercept form is y = 5x - 4.