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denis-greek [22]
2 years ago
10

There is a line whose y-intercept is 7 and whose slope is 8. What is its equation in slope-intercept form?

Mathematics
1 answer:
Annette [7]2 years ago
4 0
Answer:
y = 8x + 7

Explanation:
The equation of the line in slope-intercept form has the following general formula:
y = mx + c
where:
m is the slope of the line = 8
c is the y-intercept = 7

Substitute with the givens in the above formula to get the slope of the line as follows:
y = mx + c
y = 8x + 7

Hope this helps :)
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-8 -8x + 10 + 6x = 19
hram777 [196]

Answer:

x = -8.5

Step-by-step explanation:

Let's rearrange the question to find x :)

-8x + 6x + 10 - 8 = 19

-2x + 2 = 19

-2             -2

-2x = 17

/-2      /-2

x = -8.5

4 0
2 years ago
PLEASE HELP
Sholpan [36]
1) We have that the equation is x^2=20y , hence y=x^2/20. The standard equation of such an equation is y=\frac{1}{4p} x^2. Hence, p=5 in this case. The focus is at (0,5) and the directrix is at y=-5 (a tip is that the directrix is always "opposite" the focus point of a parabola; if the directrix is at x=-7 for example, the focus is at (7,0)).
2) Similarly, we have that the equation is x=3y^2 \\  \frac{1}{4p} =3. Thus, p=1/12. In this case, the parabola opens along the x-axis and the focus is at (1/12, 0). Also, the directrix is at x=-1/12. Hence the correct answer is B.
3) We are given that the parabola has a p of 9. Also, the focus lies along the y-axis, hence the parabola is opening along the y-axis. Finally, the focus is on the positive half, so the parabola is opening upwards. The equation for this case is y=y=\frac{1}{4p} x^2= \frac{1}{36 } x^2.
4) Similarly as above. The directrix is superfluous, we only need the p-value. THe same comments about the parabola apply and if we substitute p=8 in the formula: y= \frac{1}{4p} x^2 we get y=\frac{1}{32} x^2.
5) This is somewhat different, even though we do not need the directrix again. The focus lies on the x-axis, thus the parabola opens in this direction. The focus lies on the positive part of the axis, thus the parabola opens to the right. We also are given p=7. Hence, the equation we need is of the formx= \frac{1}{4p} y^2. Substituting p=7, we get x= \frac{1}{28} y^2.
6) The equation of a prabola with a vertex at (0,0) is of the form y=-ax^2. The minus sign is needed since the parabola is downwards. Since we are given anothe point, we can calculate a. We have to take y=-74 and x=14 feet (since left to right is 28, we need to take half). -a= \frac{y}{x^2} = \frac{-74}{14^2} =-0.378. Thus a=0.378. Hence the correct expressions is y=-0.378*x^2
7 0
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