Question

What is the x-intercept of the line y=-10x+70?

Answer 1

x = 7

Explanation:

To find the x-intercept of the line y = -10x + 70, we need to determine the value of x when y is equal to zero. The x-intercept represents the point on the line where it crosses the x-axis.

To find the x-intercept, we set y equal to zero in the equation y = -10x + 70:

0 = -10x + 70

Next, we isolate x by moving the constant term to the other side of the equation:

-10x = -70

To solve for x, we divide both sides of the equation by -10:

x = -70 / -10

Simplifying the division gives us:

x = 7

Therefore, the x-intercept of the line y = -10x + 70 is 7. This means that the line crosses the x-axis at the point (7, 0).

Answer 2

Answer: X-intercept = 7

Explanation:

Our task is to find the x-intercept of the following line:

`y=-10x+70`

To find a line's x-intercept, set y equal to 0 and solve for x.

`0=-10x+70`

`-10x+70=0` Rearrange.

`-10x=-70` Subtract 70 from both sides.

`10x=70` Divide each side by -1.

`x=7` Divide each side by 10.

∴ the x-intercept is 7.