What's the y and x intercept and slope of y=1/2x + 5?

Question

I'm having trouble with this question for some reason. I know that the y intercept is 5 and the slope is 1/2, but what is the x intercept? Is it 1/2 also?

Answer 1

The x-intecept of a line on a graph is where y=0 and the y-intercept is where x=0. You have the point-slope formula for a line y=mx+b or y=1/2x+5. Clearly the y-intercept is 5 as you stated. The x-intercept is found by setting y=0 and solving for x or 1/2x+5=0. Then the x-intercept is -10. If you plot a line with slope 1/2 about the point (0,5) it should inersect the x-axis at -10. You can use slope (rise/run) from (0,5) to (0,x) to show x=-10, y=-5 as x/y=1/2. 

Answer 2

A linear function is in the form  y=mx+b , where m is slope and b is y-intercept.

 

 

To find the x-intercept, we set y=0 and solve for x.

 

0 = (1/2)x + 5

 

-5 = (1/2)x

 

-10 = x

 

x-intercept is  (-10, 0).

 

 

The y-intercept is  (0, 5).

 

 

The slope is 1/2.