Which line is parallel to a line that has a slope of 3 and a y-intercept at (0, 0)?

Mathematics

2 answers:

pogonyaev4 years ago

7 0

Answer:

line HJ

Step-by-step explanation:

we know that

The equation of the line that has a slope of $3$ and a y-intercept at $(0, 0)$ is equal to

$y=3x$ -----> is a proportional relationship

Remember that

If two lines are parallel , then their slopes are the same

Find the slope of the line HJ

$H(-1,-4), J(1,2)$

The formula to calculate the slope between two points is equal to

$m=\frac{2+4}{1+1}$

$m=\frac{6}{2}$

$m=3$

therefore

The line HJ is parallel to the line $y=3x$

Andreas93 [3]4 years ago

3 0

Line HJ is parallel to a line that has a slope of 3 and a y-int at (0,0). If you wrote this in slope intercept form, it is y=3x+0. The only line that has such a slope is the red one.

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two pounds of grapes cost $6 . complete the table showing the price of different amounts of grapes at this rate

Degger [83]

Answer:

Table shown below

Step-by-step explanation:

To solve this problem let's use proportions.

If 2 pounds of grapes cost $6, half the amount will cost half the dollars, so the last row will have $3 in the price

For the second row, we know the price is $1, that is, one-sixth of the original given price. It should correspond to one-sixth of the amount of grapes or 2/6 pounds.

Simplifying the fraction, we get 1/3 or 0.33 pounds