Using the graph, derive the equation of the line in slope-intercept form, (0,-4),(1,-1)

Answer 1

We can use the slope-intercept form of a linear equation, which is given by:

y = mx + b

where m is the slope and b is the y-intercept.

To find the slope, we can use the formula:

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

Using the points (0,-4) and (1,-1), we can substitute the values into the formula:

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

Now, we substitute the slope (m) and one of the points (x1, y1) into the equation:

y = mx + b
-4 = 3(0) + b
-4 = 0 + b
b = -4

Now, we have the slope (m = 3) and the y-intercept (b = -4).

Therefore, the equation of the line in slope-intercept form is:

y = 3x - 4