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Sophie [7]
4 years ago
5

If a line with a slope of -2 crosses the y-axis at (0, 3), what is the equation of the line?

Mathematics
1 answer:
Karo-lina-s [1.5K]4 years ago
5 0

Answer: Option D

y +2x = 3

Step-by-step explanation:

The equation of a line in the form of "slope-interception" has the following form:

y = mx + b

Where m is the slope of the line and b is the interception of the line with the y axis.

In this case we know that the line has a slope of -2. Then m = -2.

We also know that the line intercepts the axis y at the point (0, 3) therefore we know that:

b = 3.

Finally the equation of the line will be:

y = -2x + 3

If we add 2x on both sides of the equation we get:

y +2x = 3

The answer is the option D

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The graph of a proportional relationship contains the point (20, 4).
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Answer:

y=\frac{1}{5}x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem we have

point (20,4)

Substitute the values and solve for k

k=y/x

k=\frac{4}{20} =\frac{1}{5}

therefore

the equation of the line is equal to

y=\frac{1}{5}x


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The equation of a parabola with focus at (h, k) and the directrix y = p is given by the following formula:

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