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3 years ago

8

What is the slope of the line? What is the y-intercept? Write the equation of the line

2 answers:

ohaa [14]3 years ago

6 0

Answer:

slope is 2

y-intercept is 3

equation y=2x+3

Step-by-step explanation:

rjkz [21]3 years ago

5 0

Answer:

slope=4/2 or 2

y-intercept=3

equation=y=2x+3

the slope would be 4/2 because if you do the triangle method you see that the vertical distance of y is 4 and the horizontal distance of x is 2 so that gives you 4/2 the y intercept is where the line starts at 0 which you can see is 3. if the equation is y=mx+b you plug in the slope which is 4/2 or 2 and plug in the y-intercept which is 3 which gives you y=2x+3

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3 years ago

Which equation represents a proportional relationship between the x and y values?

Airida [17]

Answer:

D) $y=-2x$

Step-by-step explanation:

A linear relationship is of the form $y=mx+b$ , where, $m$ is the slope and $b$ is the y-intercept (constant).

For a proportional relationship, the value of $b=0$ and thus it is of the form $y=mx$

Let us check each option and express it in the form above.

Option A:

$y=2$

This can be written as $y=0x+2$ . So, $b\ne 0$ .

Since, b \ne 0, therefore, it is not a proportional relationship.

Option B:

$y=14x+1$

Here, $b=1$ . So, $b\ne 0$ .

Since, b \ne 0, therefore, it is not a proportional relationship.

Option C:

$y=x-4$

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Since, b \ne 0, therefore, it is not a proportional relationship.

Option D:

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This can be rewritten as $y=-2x+0$

There is no y-intercept on this. So, $b=0$

Since, $b = 0$ , therefore, it is a proportional relationship.

Therefore, the correct option is D.

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