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How do you graph the line #y= -5x+3#?

Answer 1

graph{-5x+3 [-10, 10, -5, 5]}

Using the gradient intercept formula #y=mx+b#, the gradient is #-5#, meaning that for each unit it goes across, it goes down by #5# units. Since we have a #+3#, we can raise the graph up from #(0,0)# to #(0,3)#

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Answer 2

Hazel Anglin

To graph the line (y = -5x + 3), you can use the slope-intercept form of a linear equation, which is (y = mx + b), where (m) represents the slope of the line and (b) represents the y-intercept.

In this equation:

The slope (m) is -5.
The y-intercept (b) is 3.

Start by plotting the y-intercept, which is the point (0, 3).
Use the slope to find another point on the line. Since the slope is -5, you can move down 5 units and to the right 1 unit from the y-intercept to find another point.
Connect the two points with a straight line to complete the graph.

Alternatively, you can use a table of values to find multiple points on the line by substituting different values of (x) into the equation and solving for (y). Then plot these points and connect them to graph the line.

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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.