(0, 1) (1, -4) Write the equation of the line in slope intercept form

Answer 1

To find the equation of the line in slope-intercept form (y = mx + b), we need to find the slope (m) and the y-intercept (b) first.

We are given two points on the line: (0, 1) and (1, -4).

First, we calculate the slope:

m = (y2 - y1) / (x2 - x1)
m = (-4 - 1) / (1 - 0)
m = -5 / 1
m = -5

Now we have the slope. Next, we need to find the y-intercept (b). We can use either one of the given points. Let's use (0, 1).

y = mx + b
1 = -5(0) + b
1 = b

Now we have the y-intercept. Thus, the equation of the line in slope-intercept form is:

y = -5x + 1.