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How do you graph #y= -2/3x +4# by plotting points?

Answer 1

Savannah Anderson

See a solution process below:

Plot the first two points that are found by solving the equation:

First Point: For #x = 0#

#y = (-2/3 * 0) + 4#

#y = 0 + 4#

#y = 4# or #(0, 4)#

Second Point: For #x = 3#

#y = (-2/3 * 3) + 4#

#y = -2 + 4#

#y = 2# or #(3, 2)#

Next, we can chart the two points on the coordinate plane as follows:

graph{(x^2+(y-4)^2-0.04)((x-3)^2+(y-2)^2-0.04)=0 [-10, 10, -5, 5]}

To graph the line, we can now draw a straight line through the two points as follows:

graph{(y + (2/3)x-4)(x^2+(y-4)^2-0.04)((x-3)^2+(y-2)^2-0.04)=0 [-10, 10, -5, 5]}

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Answer 2

Isaiah Anthony

To graph ( y = -\frac{2}{3}x + 4 ) by plotting points, you can choose values for ( x ), calculate corresponding ( y ), and then plot the points on a coordinate plane. Choose at least two or three values for ( x ), such as ( x = 0, 3, ) and ( -3 ), then calculate the corresponding ( y ) values using the equation. Plot the points ( (x, y) ), and then draw a line through them to represent the graph of the equation.

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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.