Find the x-intercept and the y-intercept of the line x + 4y = 4. Then use them to graph the line.
Understand the Problem
The question asks to find the x and y intercepts of the line given by the equation x + 4y = 4, and then use these two points to graph the line.
Answer
x-intercept: 4 y-intercept: 1
Answer for screen readers
x-intercept: 4 y-intercept: 1
Steps to Solve
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Find the x-intercept To find the x-intercept, set $y = 0$ in the equation and solve for $x$: $x + 4(0) = 4$ $x + 0 = 4$ $x = 4$ The x-intercept is 4.
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Find the y-intercept To find the y-intercept, set $x = 0$ in the equation and solve for $y$: $0 + 4y = 4$ $4y = 4$ $y = \frac{4}{4} = 1$ The y-intercept is 1.
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Graph the line Plot the two points (4, 0) and (0, 1) on the graph. Draw a straight line through these two points.
x-intercept: 4 y-intercept: 1
More Information
The x and y intercepts are the points where the line intersects the x and y axes respectively. They are useful for graphing lines.
Tips
A common mistake is to mix up the x and y intercepts. Remember, to find the x-intercept, set $y = 0$, and to find the y-intercept, set $x = 0$.
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