Find the x-intercept and the y-intercept of the equation -11x+4y=-22, then use them to graph the line.
Understand the Problem
The question asks to find the x and y intercepts of the line with equation -11x+4y=-22, and then use this information to graph the line via the intercepts.
Answer
x-intercept: 2 y-intercept: -5.5
Answer for screen readers
x-intercept: 2
y-intercept: -5.5
Steps to Solve
- Find the x-intercept
To find the x-intercept, we set $y = 0$ in the equation $-11x + 4y = -22$
$-11x + 4(0) = -22$
$-11x = -22$
$x = \frac{-22}{-11} = 2$
So the x-intercept is 2.
- Find the y-intercept
To find the y-intercept, we set $x = 0$ in the equation $-11x + 4y = -22$
$-11(0) + 4y = -22$
$4y = -22$
$y = \frac{-22}{4} = -\frac{11}{2} = -5.5$
So the y-intercept is -5.5.
- Graph the line
Plot the x-intercept $(2, 0)$ and the y-intercept $(0, -5.5)$ on the coordinate plane. Draw a line through these two points.
x-intercept: 2
y-intercept: -5.5
More Information
The x and y intercepts are points where the line crosses the x and y axes respectively
Tips
A common mistake is to mix up the x and y intercepts, setting x = 0 when solving for the x-intercept and y = 0 when solving for the y-intercept. Another common mistake involves errors in simple algebraic manipulation, such as dividing by negative numbers
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