Derive the equation of the line in slope-intercept form. (1 point)
(3,0) (0,-2)
To find the equation of the line in slope-intercept form, we can use the formula:
y = mx + b
Where m is the slope of the line and b is the y-intercept.
First, let's find the slope (m) using the given coordinates (3,0) and (0,-2).
m = (y2 - y1) / (x2 - x1)
= (-2 - 0) / (0 - 3)
= -2 / -3
= 2/3
Now that we have the slope, we can substitute it into the slope-intercept form equation.
y = (2/3)x + b
To find the y-intercept (b), we can use one of the given points. Let's use (3,0):
0 = (2/3)(3) + b
0 = 2 + b
b = -2
Finally, we can substitute the value of b back into the equation:
y = (2/3)x - 2
So, the equation of the line in slope-intercept form is y = (2/3)x - 2.