Graph the line with slope -1/2 passing through the point (1, 4).
Understand the Problem
The question asks to graphically represent a line on a coordinate plane. This line has a specific slope of -1/2 and passes through the point (1, 4). The user needs to plot this line accurately on the provided grid.
Answer
Answer for screen readers
The line passing through (1, 4) with a slope of $-\frac{1}{2}$ is shown below.
Steps to Solve
- Plot the given point
Plot the point (1, 4) on the coordinate plane. This means go 1 unit to the right on the x-axis and 4 units up on the y-axis.
- Understand the slope
The slope is given as $-\frac{1}{2}$. This means for every 2 units you move to the right on the x-axis, you move 1 unit down on the y-axis (since the slope is negative).
- Find another point using the slope
Starting from the point (1, 4), use the slope $-\frac{1}{2}$ to find another point on the line. Move 2 units to the right from x = 1 to x = 3. Then, move 1 unit down from y = 4 to y = 3. This gives us the point (3, 3).
- Draw the line
Draw a straight line passing through the points (1, 4) and (3, 3). This line represents the equation with a slope of $-\frac{1}{2}$ and passing through the point (1, 4).
The line passing through (1, 4) with a slope of $-\frac{1}{2}$ is shown below.
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