Answer:
the correct answer is yes
Answer:
y-intercept is (0,30); x-intercept is (52.5,0).
Step-by-step explanation:
Note that as x increases by 7 from -35 to -28, y decreases by 4 from 18 to 14. Thus, the slope of this line is
m = rise / run = -4/7.
Let's find the equation of the line. Start with the slope-intercept form:
y = mx + b. Use the slope m = -4/7 and the point (-28, 14) to find b:
14 = -(4/7)(28) + b, or
14 = -16 + b. Then b = 30, and the equation of the line in slope-intercept form is y = (-4/7)x + 30. The y-intercept is (0, 30).
Find the x-intercept by setting y=0 and solving the resulting equation for x:
y = (-4/7)x + 30 becomes (4/7)x = 30, and x = (7/4)(30) = 214, or 52.5.
The x-intercept is thus (52.5, 0).
Given:
A parabola opens up or down and its vertex is at the point (h, v).
To find:
The equation of the parabola.
Solution:
A parabola opens up or down. It means it is a vertical parabola.
The vertex form of a vertical parabola is
...(i)
Where, a is constant and (h,k) is vertex.
The vertex of given parabola is at point (h,v). Putting h=h and k=v in (i), we get

The required equation of the parabola is
.
Therefore, the correct option is A.
Hello there,
Well we are going to start off with the equation to find the slope based on the given points:
Now using the two given points we are going to plug in and solve:
=
= 
From this you know that
is the slope of the equation. However, to find the y-intercept we are going to use y = mx+ b and plug in one of the points to solve:
(-14) =
(-22) + b
(-14) = (-11) + b
-3 = b
That means that the y-intercept is at (0, -3). Lastly, we are just going to plug all this into the slope-intercept form:
y =
- 3
Hope I helped,
Amna