What is the slope of y=0.50x+5 and write a sentence to describe the meaning

Mathematics

1 answer:

castortr0y [4]3 years ago

6 0

Answer:

5.5

Step-by-step explanation:

y = 0.5x + 5

Use the slope-intercept form to find the slope and y-intercept.

Slope: 0.5

y-intercept: 5

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding values.

To find the y intercept using the equation of the line, plug in 0 for the x variable and solve for y.

y = 0.5(0) + 5

y = 5

To graph the y intercept using the equation of the line, plug in 1 for the x variable and solve for y.

y = 0.5(1) + 5

y = 5.5

Which means when x is 0, y intercept at 5 and when x is 1 y intercept at 5.5. Graph the line using the slope and the y-intercept, or the points.

This tells us, in practical terms, that, for every one unit that the x-variable increases (that is, moves over to the right), the y-variable increases (that is, goes up) by 50% of a unit.

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Problem 2

Plot point L anywhere that isn't on segment JK. Draw a line through point L. I find it helps to make the lines parallel.

Next, use a compass to measure the width of segment JK. Keeping this same width, transfer the nonpencil end of the compass to point L. Draw an arc that crosses the line through L.

Mark this intersection point M. Lastly, use a pen or marker to form segment LM and erase everything else of that line.

======================================================

Problem 3

The ideas of the previous problem will be used here. We copied segment JK to form congruent segment LM. So JK = LM.

The same steps will be used to form segment GN where GN = EF. In other words, segment GN is a perfect copy of segment EF.

If you repeat these steps again, you'll get another segment of the same length. This segment goes from point N to point H. So NH = GN = EF

Then we can say,

GH = GN + NH

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3 years ago