Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = (x - h)² + k (h, k) are the coordinates of the vertex
Given y = x² + 7x - 5
To express in vertex form use the method of completing the square
add/subtract ( half the coefficient of the x- term )²
y = x² + 2( 
)x +
- - 5
y = (x + )² - - 
y = (x + )² - 
Hence
a = and b = -
Answer:
Step-by-step explanation:
Remember that 
Then,
But 
and 
Then
Answer:
y-intercept (0,11/5)
x-intercept (11/2,0)
Step-by-step explanation:
The y-intercept is obtained when the x-coordinate equals 0 (x=0)
so the y-intercept is (0,11/5)
The x-intercept is obtained when the y-coordinate equals 0 (y=0)
In this case
0 = -(2/5)x+11/5---->(2/5)x = 11/5 ----> x=(5*11)/(5*2) = 11/2
So the x-intercept is (11/2,0)
Answer:
y - 2 3/7 (x-4)
Step-by-step explanation:
A) To find slope, use the equation:where and are the x and y values of one coordinate point , and and are the x and y values of another coordinate point . Since we are given two coordinate points, (-3,-1) and (4,2), that means we can find the slope using the slope equation.
Let's choose (4, 2) as your point and (-3, -1) as your point, but you can switch those if you want! That makes and x^1 = -3, y1 = -1 . Plug these values into the slope equation:
The slope of the line is 3/7.
B) Remember that the general equation for point-slope form is, where m = the slope, = the x value of a coordinate point on the line, and = the y value of the same coordinate point on the line.
You are given (4, 2) as one of the coordinate points. That means = 4 and = 2. We found the slope, m = in part A. Now plug these values into the general equation for point-slope form to find your point-slope form equation:
Your point-slope form equation is y - 2 3/7 (x-4).
<span>4x - 5y = 20 I think, good luck!</span>
