How do you graph #y= -3x+1#?

Answer 1

See the explanation for further detail.

Step 1: Make a coordinate plane, labeling it with your x and y axis

x-axis is the axis that runs horizontally and y-axis runs vertically and they intersect forming 90 degree angles

Step 2: to begin graphing, note that your y-intercept (where the line crosses the y-axis), is (0,1). Plot that point by going up 1 space. You should not move vertically on the x-axis because the x-coordinate of the y-intercept is 0.

Step 3: From the y-intercept, move directly down 3 units, noting the scale on your coordinate graph

Step 4: after moving down 3 units, then move directly to the right 1 unit. Plot this point. The pattern repeats continuously.

Hope this explanation was helpful. If it is a bit confusing, I recommend using symbolab and plugging in the given equation to see what I mean by the explanation.

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Answer 2

To graph the linear equation (y = -3x + 1), follow these steps:

  1. Identify the y-intercept: The y-intercept is the point where the line crosses the y-axis. In this equation, the y-intercept is (+1). Plot this point on the graph at (0, 1).

  2. Use the slope to find another point: The slope of the line is (-3), which can be interpreted as (\frac{-3}{1}). This means for every 1 unit you move to the right (positive direction along the x-axis), you move 3 units down (negative direction along the y-axis) because of the negative slope. Starting from the y-intercept (0, 1), move 1 unit to the right to (x = 1), then 3 units down, which brings you to the point (1, -2). Plot this point on the graph.

  3. Draw the line: Connect the two points with a straight line extending in both directions. This line represents the equation (y = -3x + 1).

Your graph should show a straight line descending from left to right, crossing the y-axis at (y = 1) and having a steepness determined by the slope of (-3).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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