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Use the slope and y-intercept to graph the equation

Use the slope and y-intercept to graph the equation-example-1
User Anantha Krishnan
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1 Answer

14 votes
14 votes

Answer:

See below

Explanation:

Step 1: (0,5) (plotted in first attached image.)

This is because it is the Y intercept in the given equation. (y=-2/3x+5) (when in this form, y intercept is the last number.) in the ordered pair: (0,5) 0 is the x value and 5 is the Y.

Step 2: Another ordered pair would be: (3,3) (plotted in second attached image)

(I just started at the point from step 1 and followed the slope) The slope is -2/3. with slopes, the top number is your up and down, and the bottom number is your left and right. Since it's negative, I went 2 down, and 3 to the right.

Step 3: Just connect the lines. (3rd attached image) (drawn with mouse so ignore how not straight it is lol)

Step 4: Do this by plugging the x value of (3,3) into the original equation (y=2/3x+5) Plug it into the x. This will be: y=-2/3(3)+5 first do -2/3 times 3. This is -2. Then add 5. This is 3/1 or 3. This proves the ordered pair from step 2 works because the result is 3 which is our Y value (3,3)

Use the slope and y-intercept to graph the equation-example-1
Use the slope and y-intercept to graph the equation-example-2
Use the slope and y-intercept to graph the equation-example-3
User Sam Ngugi
by
2.5k points
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