On the graph of the equation x − 4y = −16, what is the value of the y intercept

Mathematics

1 answer:

Artyom0805 [142]3 years ago

5 0

The y-intercept is 4.

If you have x-4y=-16, in slope intercept form it is y=1/4x+4.

You might be interested in

write and equation of the line parallel to the line 2 x + 4 y = 20 2 x + 4 y = 20 and containing the point ( −

MAXImum [283]

Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m represents the slope of the line

c represents the y intercept

The equation of the given line is

2x + 4y = 20

4y = - 2x + 20

Dividing through by 4, it becomes

y = - x/2 + 5

Comparing with the slope intercept form, slope = - 1/2

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 6, 3) is - 1/2

To determine the y intercept, we would substitute m = - 1/2, x = - 6 and y = 3 into y = mx + c. It becomes

3 = - 1/2 × - 6 + c

3 = 3 + c

c = 3 - 3 = 0

The equation becomes

y = - x/2

4 0

3 years ago

According to the U.S. Bureau of the Census in its Current Population Reports (Series P60) the average

Dahasolnce [82]

Answer:

lkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

Step-by-step explanation:

4 0

3 years ago

Can someone solve this! Need it done soon

Airida [17]

Answer:

117.5 ft²

Step-by-step explanation:

To find the area of the shaded area, we can find the area of the square, then subtract the areas of the two semicircles.

First, we will find the area of the given square, by using the formula $lw$ , multiplying the length and width. The dimensions of this square are 14×14.

14 · 14 = 196

The area of the square is 196 ft².

We can now find the area of the two congruent half-circles. Since they are identical, we can simply find the area of one circle if it was whole. To find the area of a circle, we'll use the formula $A=\pi r^2$ . With some simple deduction, we can see that the diameter of the circle is 10 ft, so the radius would be 5 ft long. Plug our values into the formula.