To write the equation of the line in slope-intercept form, we need to find the slope and the y-intercept.
First, let's find the slope using the formula:
m = (y2 - y1) / (x2 - x1)
Using the points (3,0) and (0,-2), we have:
m = (-2 - 0) / (0 - 3)
m = -2 / -3
m = 2/3
Next, we know that the slope-intercept form of a line is given by:
y = mx + b
where m is the slope and b is the y-intercept.
We can substitute the known values of the slope and one of the points (such as (3,0)) into the equation to find the y-intercept.
0 = (2/3)(3) + b
0 = 2 + b
b = -2
So the equation of the line in slope-intercept form is:
y = (2/3)x - 2
Write the equation of the line in slope-intercept form.
(3,0) (0,-2)
1 answer