What is the equation of the line between (0,0) and (2,-10)?

2 Answers
Apr 29, 2018

The slope is -5.

Explanation:

To find this answer, we'll be using the point slope formula:

(Y_2 - Y_1)/(X_2 - X_1) = m , where m is the slope.

(0, 0) (X_1, Y_1)
(2, 10) (X_2, Y_2)

Now, plug-in the variables:

(-10 - 0)/(2-0) = m

Subtract.

-10/2 = m

Simplify.

-5/1 = m

The slope is -5.

(y = -5x)

Apr 29, 2018

y=-5x

Explanation:

Slope-intercept form of an equation: y=mx+b, where m is the slope and b is the y-intercept

Let's first find the slope using the points (x_1, y_1) and (x_2, y_2): (y_2-y_1)/(x_2-x_1)

(-10-0)/(2-0)

(-10)/2

-5

Our equation is currently y=-5x+b

The y-intercept is in the format (0, b). The point (0, 0) is the y-intercept in this case.

y=-5x+0

y=-5x