Question

Difficulty: EasyLinear Equations and Graphing

In the standard $(x,y)$ coordinate plane, a line has the equation $3x + 2y = 12$ . What is the $x$ -intercept of this line?

Answer: 4

The

x

-intercept of the line is

4

Substitute

y = 0

into the equation to find the point where the line intersects the

x

-axis.

3x + 2(0) = 12

By definition, the

x

-intercept occurs where the

y

-coordinate is equal to

0

Simplify the equation and solve for the variable

x

3x = 12 \Rightarrow x = 4

Simplifying

2(0)

0

leaves

3x = 12

. Dividing both sides of the equation by

3

isolates

x

, giving

x = 4

Determining the

x

-intercept of a linear equation by evaluating it at

y = 0

Estimated Time:45s

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