3 years ago

Calculate the slope of the line using two different pairs of points.

Mathematics

2 answers:

mihalych1998 [28]3 years ago

6 0

Rise/run = 20/20 = 1
m = 1

Serhud [2]3 years ago

5 0

Ok find two points
(0,20) and (20,0)
Slope formula: (y2-y1)/(x2-x1)
(0-20)/(20-0) = -20/20 = -1
Solution: m = -1

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How do I do this please help??

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Answer:

Slope: 4

Y-intercept: -5

Equation: y=4x-5

Step-by-step explanation:

Slope formula:

$\frac{y2 - y1}{x2 - x1}$

So let's use the ordered pairs (1, -1) and (2,3) from the table (it doesnt matter which ones you choose) and plug the numbers in to the formula:

$\frac{3 - ( - 1)}{2 - 1}$

Which is equal to:

$\frac{4}{1}$

Which is equal to 4. So the slope is 4.

To find the y-intercept, substitute the slope and an ordered pair into the slope-intercept equation, y=mx+b. So let's use (1,-1).

-1=4(1)+b

= -1=4+b

= -1-4=4-4+b

= -5=b

So the y-intercept is -5.

Then for the equation, you just plug in the slope and the y-intercept into y=mx+b, which would be:

y=4x-5

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