Answer:
The slope of a line that includes the points (4, -2) and (5, 0) is 2
Step-by-step explanation:
You know that the formula y - y1 = m(x - x1) is the point-slope form of the equation of a line where m is the slope of a line.
The line must include the points (4, -2) and (5, 0). So, being:
- (x,y)= (4,-2)
- (x1,y1)= (5, 0)
and replacing in the point-slope form of the equation of a line:
-2-0=m(4-5)
You solve the equation for m and get:
-2=m*(-1)

m=2
<u><em>The slope of a line that includes the points (4, -2) and (5, 0) is 2</em></u>
Answer:
You can identify the parent function by making the equation into its simplest form.
Step-by-step explanation:
Remove all transformations from the equation (such as plus/minus signs, constants, and extra terms in the equation).
ex. y= -3x^2+15
The parent function would be y=x^2 after removing everything.
Hope this helps! :)
Answer:
1. True
2. False
3. False
4. True
Step-by-step explanation:
Answer:
As Given, x+y=w+z
To Prove: AOB is a line or x+y=180
∘
(linear pair.)
According to the question,
x+y+w+z=360
∘
∣ Angles around a point.
(x+y)+(w+z)=360
∘
(x+y)+(x+y)=360
∘
∣ Given x+y=w+z
2(x+y)=360
∘
(x+y)=180
∘
Hence, x+y makes a linear pair.
Therefore, AOB is a straight line
Y= -1/2x - 4
hope this helps! :)