Question 408·Easy·Algebra

0 / 700

In the $xy$ -plane, the line $2x - y = 10$ intersects the $x$ -axis at $(x, 0)$ . What is the value of $x$ ?

Your answer

An x-intercept is where a graph meets the horizontal $x$ -axis. At that point, the $y$ -coordinate is zero. Set $y=0$ to understand what you’re looking for, then graph the equation in Desmos and click its crossing with the $x$ -axis. If the question asks for $x$ , read the first coordinate, not the zero in the second coordinate.

Hints

Hint 1
An intercept is a point where a graph meets an axis. At an $x$ -intercept, the point sits on the horizontal axis. Which coordinate of a point on that axis must be zero?
Hint 2
The point $(x,0)$ tells you that $y=0$ . In Desmos, graph the given equation and click where its line meets the $x$ -axis. Which coordinate of the labeled point answers the question?

Step-by-step

Read the x-axis crossing
Step 1
Identify the zero coordinate
The line meets the $x$ -axis at $(x,0)$ , so $y=0$ there. To find an x-intercept, set $y$ to zero, not $x$ . Substituting into the line’s equation gives $2x-0=10$ .
Step 2
Read the x-coordinate in Desmos
Type $2x-y=10$ in Desmos. Click the line, then click where it crosses the $x$ -axis. Desmos labels the point $(5,0)$ . Its first coordinate is the requested value of $x$ ; the second coordinate is $y$ . Grid in 5.

Question 408·Easy·Algebra

Strategy

Hints

Step-by-step

Lessons that teach this

Study Hints

Strategy

Hints

Step-by-step

Lessons that teach this