Identify the x and y intercepts from the following equation: 5x+10y=30. The x intercept is Question Blank type your answer... and the y intercept is Question Blank type your answer... .

Answer 1

When you think of x and Y intercepts, you need to think of where those intercepts are located in the graph. The x 's intercepts are always placed on x axis, therefore the y value is always =0 .

So , in this case to identify the x intercepts , you replace the y in your equation with 0 and solve for x.

5x * 10*0 =30

5x=30 => x =6 , therefore the x intercept as a coordinate point is (6,0).

For y intercepts , these are located on the y axis, therefore as a representation of a coordinate pair, your x always =0.

You can replace x=0 and solve for y or try to put the equation in the slope form y=mx +b ( 0, b) is your intercept.

if we replace x=0 => 5*0 +10y =30.

10y=30. => y=3. ; y intercept is (0,3)

Answer 2

When the equation is in this form, simply substitute a 0 in for the y to find the x intercept and a 0 in for the x to find the y intercept.

5x + 10y = 30

y intercept:

0 + 10y = 30

y = 3

y intercept = (0, 3)

x intercept:

5x + 0 = 30

x = 6

x intercept = (6, 0)