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mezya [45]
4 years ago
6

Which linear equation represent the graph

Mathematics
1 answer:
Lemur [1.5K]4 years ago
3 0

Answer:

Option C. y=5x-1

Step-by-step explanation:

step 1

Find the slope of the linear equation

take two points from the graph

(0,-1) and (1,4)

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{4+11}{1-0}

m=\frac{51}{1}

m=5

step 2

Find the linear equation in slope intercept form

y=mx+b

where

m is the slope

b is the y-intercept

we have

m=5

b=-1 ----> the y-intercept is the point (0,-1)

substitute

y=5x-1

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Answer:

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Step-by-step explanation:

First, do 6(8), which equals 48

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8 0
3 years ago
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Answer:

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8 0
3 years ago
Use the four functions below for this question:
Darina [25.2K]
f (x ) = 2 x + 5
For g (x) we will solve the system:
- 1 =-2 m + b
+
-9 = 2 m + b
----------------------
-10 = 2 b,  b = -5
-9 = 2 m - 5
2 m = -4
m = -2
g ( x ) = - 2 x - 5
For h (X):
m = (-1-5 ) / ( 3-0 ) = -6/3 = -2
5 = 0 + b,   b = 5
h ( x) = - 2 x + 5.
Now we have 4 linear functions:
1 ) f ( x ) = 2 x + 5
The slope is m = 2, y - intercept: y = 5 , zero: x = -2.5 and the function increases ( m > 0 ).
2 ) g(x) = - 2 x - 5
The slope is m = - 2, y-intercept: y =-5 , zero: x = -2.5 and the function decreases ( m < 0 ).
3 ) h ( x ) = - 2 x + 5
The slope is m = - 2, y - intercept . y = 5, zero: x = 2.5 and the function decreases.
4 ) j (x) = 2 x + 5
The slope is m = 2, y -intercept: y = 5, zero: x = -2.5 and the function decreases.
The functions f( x ) and j ( x ) are parallel and also g( x ) and h ( x ). They have the same slope.  
The functions f ( x ) and j (x ) are increasing and h ( x ) and h ( x ) are decreasing.
6 0
4 years ago
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