Write the equation of the line with an x-intercept of 5 and a y-intercept of -10.

Answer 1

If you plot the x and y intercept and connect those points, this will help you see that with these values, you can calculate the slope.

slope = rise/run = -10/5 = -2 = m

The y intercept is given, b=-10

Bringing the slope and y intercept together into the linear equation y=mx+b

y = -2x-10

Answer 2

We are given that there is an x-intercept at 5, so point is (5,0) and y-intercept is at -10.

Equation of a line (slope-intercept form) is: y = mx + b ; where m is the slope and b is the y-intercept.

We know the y-intercept, so the equation becomes y = mx + (-10) which is y = mx - 10.

Now the only unknown is "m". We can use our x-intercept point (5,0) to find it:

Substituting point (5,0) in our equation, we get: 0 = m(5) - 10

Solve for "m", we get: 5m = 10. Therefore m=2.

Therefore, our equation of the line is y=2x-10.

Hope that makes sense.