Derive the equation of the line in slope-intercept form. (1 point)

Question

(3,0) (0,-2)

Answer 1

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.