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2 years ago

6

Which of the following has a slope of –2 and a y-intercept of 4?

1 answer:

Mumz [18]2 years ago

6 0

The coefficient of x is the value for slope in y-intercept form, and the number that we add or subtract is our y-intercept. So in this case, we want to look for a "-2" in front of x and a +4 in the equation.
Answer choice A fulfills those conditions. (I am also assuming that answer choice A should have had an x in it, but you accidentally forgot to type it.)

Please rate & heart answers you find helpful! :)

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Read 2 more answers

A line passes through the points (-1, -1)

Allisa [31]

Given:

A line passes through the points (-1, -1) and (5,8).

To find:

Which points lie on the same line?

Solution:

If a line passes through two points, then the equation of the line is:

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

A line passes through the points (-1, -1) and (5,8). So, the equation of the line is:

$y-(-1)=\dfrac{8-(-1)}{5-(-1)}(x-(-1))$

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$y+1=\dfrac{9}{6}(x+1)$

$y+1=\dfrac{3}{2}(x+1)$

Multiply both sides by 2.

$2(y+1)=3(x+1)$

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$2y=3x+3-2$

$y=\dfrac{3}{2}x+\dfrac{1}{2}$

So, the equation of the line is $y=\dfrac{3}{2}x+\dfrac{1}{2}$ .

Now, check each point for this equation.

Putting $x=-3$ , we get

$y=\dfrac{3}{2}(-3)+\dfrac{1}{2}$

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$y=\dfrac{-8}{2}$

$y=-4$

Similarly,

For $x=9,y=15$ .

For $x=1,y=2$ .

For $x=4,y=6.5$ .

For $x=3,y=5$ .

For $x=-2,y=-2.5$ .

Therefore, the points (-3,-4), (9,14), (1,2) and (3,5) lie on the same line but the points (4,7) and (-2,-2) are not on that line.

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Dafna1 [17]

Answer:

none

Explanation:

Fill in each option for x individually.

I) 9 $\leq$ -10 - 4(-1)

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