Which is an equation for the line that passes through the points (3,0) and (0,2)

Answer 1

We have two points.

Point one is (3,0) with coordinates (x1, y1)

Point two is (0,2) with coordinates (x2, y2)

model for a straight line is y=mx + b

where m is the slope and b is the y-intercept

To find the slope, m = (y2 - y1)/(x2 - x1) = (2 - 0)/(0 - 3) = 2/(-3) = - 2/3

To find the y-int, we plug in the values for one of the points and the slope into the model equation. Let's choose point two for this.

2 = - 2/3 (0) + b

2 = b

Now that we know the slope, m, and the y-intercept, b, we can write the equation of the line that passes through these two points. The equation is

y = - 2/3 x + 2

Answer 2

Start with two-points form

(y - 0) / (x - 3) = (2 - 0) / (0 - 3)

Sinplify.