Firstly, we need to understand the formula of point-slope form:

Where x and y is the coordinates and m is the slope respectively.
To find the slope:

In this case:

We can then put the above slope and the point (-1,4) into the formula:
4-y = -1/2(-1-x)
-y = 1/2+1/2x-4
y = -1/2x+7/2
Alternatively:
y-4=-1/2(x-(-1))
y=-1/2x-1/2+4
y = -1/2x+7/2
Therefore the answer is y = -1/2x+7/2.
Hope it helps!
Hello!
1. -4x2 + 8x + 32
-4(x2 - 2x - 8)
-4(x2 + 2x - 4x - 8)
-4(x(x + 2) - 4(x + 2))
-4(x + 2)(x - 4)
Answer A.
2. 2x2 + 16x + 30
2(x2 + 8x + 15)
2(x2 + 5x + 3x + 15)
2(x(x + 5) + 3(x + 5))
2(x + 5)(x + 3)
Answer C.
Answer:
96pi units²
Step-by-step explanation:
Area of sector = ½ × r² × theta
½ × 16² × (3pi/4)
96pi units²
The slope can be found by using the slope formula.
Slope = y2 - y1 / x2 - x1
First, we need two points on the line.
(-1, 0) and (0, 1)
x1 = -1 and y1 = 0
x2 = 0 and y2 = 1
Let's plug these values into our slope formula.
(1 - 0) / (0 - (-1)) = 1 / 1 = 1
The slope is 1
Answer:
The plane can fly 760 miles in 4/3 hours.
Step-by-step explanation:
Given that:
An airplane can cruise at 570 miles per hour.
We have to find the distance travelled by train in 4/3 hours.
Distance = Speed * Time
Distance = 
Distance = 
Distance = 760 miles
Hence,
The plane can fly 760 miles in 4/3 hours.