To find the slope of the line we can use the following formula:

1 - (-3)/5 - 1
4 / 4
1
<h3>The slope of the line is equal to 1.</h3>
To find the equation, we can just use slope-intercept form.
We already know the slope, so our current equation is y = x
By knowing the slope, we can apply the slope to our lowest pair of coordinates to find the y value when x = 0.
Subtract 1 from the x and y values of (1, -3)
(0, -4) is our new point, and so we know the y-intercept is -4.
<h3>Our equation for the line is y = x - 4</h3>
Answer:
(g-f)(3) = 20
Step-by-step explanation:
g(3)=6 * (3) = 18
f(3)= 4-2(3) = 4 - 6 = -2
So
(g-f)(3) = 18 - (-2) = 20
Answer:
v > 4 is simplified expression.
Step-by-step explanation:
Given that:
v + 5 > 9
This expression says that when 5 is added to a variable v it will be greater than 9 So we will simplify it to get the value for variable v:
Subtracting 5 from both sides:
v + 5 - 5 > 9 - 5
v > 4
This is the simplified expression for given question.
i hope it will help you!
Step-by-step explanation:
Given:
AD is the bisector of ∠BAC
∠CPD = ∠BPD
1) ∠CAP = ∠BAP
Reason: definition of angle bisector
2) ∠CPD = 180 − ∠APC, ∠BPD = 180 − ∠APB
Reason: definition of supplementary angles
3) 180 − ∠APC = 180 − ∠APB
Reason: substitution
4) ∠APC = ∠APB
Reason: algebra
5) AP = AP
Reason: reflexive property
6) ΔAPC ≅ ΔAPB
Reason: ASA congruence