Question

Determine the equation of the line in slope-intercept form given the ordered pairs (4, 0) and (5, -1).

First, I will use the given points to determine the slope of line.

The slope of the line is:

Second, I can use the slope (m) and one of the points (x, y) to plug values into the equation y=mx+b.

When I plug in those values, I get the y-intercept (b) to be:

Lastly, I can use the slope (m) and y-intercept (b) to write the equation of the line in slope-intercept form.

This is the equation of the line in slope-intercept form:

Answer 1

y = -x + 4

Slope = -1

Explanation:

(4,0) and (5,-1)

Slope: (-1-0)/(5-4) = -1/1 = -1

y-intercept: 0 - (-1)(4)

y-intercept = 4