The slope, y-intercept and the equation of the following graph are as follows:
1(a)
slope : 1
y-intercept: 2
Equation: y = x + 2
(b)
slope : - 1 / 3
y-intercept: - 1
Equation: y = - 1 / 3x - 1
2.
(a)
slope : 3 / 4
y-intercept: 5 / 4
Equation: y = 3 / 4 x + 5 / 4
(b)
slope : - 3 / 2
y-intercept: 1 / 2
Equation: y = - 3 / 2 x + 1 / 2
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<h3>Slope intercept equation</h3>
where
m = slope
b = y-intercept
Therefore lets find the slope, y-intercept and equation of the following graph.
1.
(a)
(0, 2)(1, 3)
m = 3 - 2 / 1 - 0 = 1
b = 2
y = x + 2
(b)
(0, -1)(-3, 0)
m = 0 + 1 / -3 - 0 = - 1 / 3
b = -1
y = - 1 / 3x - 1
2.
(a)
(1, 2)(-3, -1)
m = -1 - 2 / -3 - 1 = 3 / 4
2 = 3 / 4 (1) + b
b = 2 - 3 / 4 = 5 / 4
y = 3 / 4 x + 5 / 4
3.
(b)
(-3, 5)(1, -1)
m = - 1 - 5 / 1 + 3 = - 6 / 4 = - 3 / 2
-1 = - 3 /2 (1) + b
b = -1 + 3 / 2 = 1 /2
y = - 3 / 2 x + 1 / 2
learn more on y-intercept here: brainly.com/question/2833377?referrer=searchResults
Answer:
a = 2, b = 6 and c = 10
Step-by-step explanation:
Here arithmetic sequence is given as −2, a, b, c, 14
First term, f = -2
Fifth term, f + 4d = 14
We have
-2 + 4d = 14
d = 4
Common difference , d = 4
We know that n th term of AP is
We need to find a,b,c
a = f + d = -2 + 4 = 2
b = f + 2d = -2 + 2 x 4 = 6
c = f + 3d = -2 + 3 x 4 = 10
So
a = 2, b = 6 and c = 10
The final balance is $5,097.18
The total compound interest is $597.18
Step-by-step explanation:
Answer:
a = 8.5
b = 4.5
Step-by-step explanation:
let 2 number be a ,b
a + b = 13 (1)
a - b = 4 (2)
(1) + (2) = 2a = 13+4 = 17 -> a = 8.5
-> b = 8.5 -4 = 4.5
