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Harrizon [31]
2 years ago
10

Which equation is a linear function? (Look at the photo I attached for the choices) please help me I am confused!

Mathematics
1 answer:
stepladder [879]2 years ago
6 0
The answer is y=x/2 -5
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write an equation in slope intercept form of a line that passes through the point (14,8) and is (a) parallel (b) perpendicular t
LenKa [72]

Slope-intercept form:

y = mx + b       "m" is the slope, "b" is the y-intercept (the y value when x = 0)


First find the slope of the line that passes through (4,9) and (-3,6).

Use the slope formula and plug in the two points:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=\frac{6-9}{-3-4}

m=\frac{-3}{-7} =\frac{3}{7}



A.) For lines to be parallel, their slopes have to be the same.

Since the given line's slope is 3/7, the parallel line's slope is also 3/7


y = 3/7x + b    To find "b", plug in the point (14,8) into the equation

8 = 3/7(14) + b

8 = 42/7 + b

8 = 6 + b    Subtract 6 on both sides

2 = b


y=\frac{3}{7}x+2



B.) For lines to be perpendicular, their slopes have to be the opposite/negative reciprocal (flipped sign and number)

For example:

slope is 3

perpendicular line's slope is -1/3

slope is -2/3

perpendicular line's slope is 3/2


Since the given line's slope is 3/7, the perpendicular line's slope is -7/3

y = -7/3x + b    Plug in (14, 8) to find "b"

8 = -7/3(14) + b

8 = -98/3 + b   Add 98/3 on both sides

8 + 98/3 = b       Make the denominators the same

24/3 + 98/3 = b

122/3 = b


y=-\frac{7}{3}x+\frac{122}{3}

7 0
3 years ago
Which equation represent the graphed function
UkoKoshka [18]

Answer:

C

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (4, - 1) ← 2 points on the line

m = \frac{-1+2}{4-0} = \frac{1}{4}

note that the line crosses the y-axis at (0, - 2) ⇒ c = - 2

y = \frac{1}{4} x - 2 ← equation of line


6 0
2 years ago
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A hi school is conducting a survey to see how many students have part time jobs. Would this sample be biased or unbiased?
nalin [4]
It would be biased because one would assume that students can get to school by means other than those that put them 8n the parking lor. (Parking lot = car drivers who would be the only students sampled.). Others may ride to school by either parent or school bus who could drop them off somewhere else or possibly walk to school. The freshmen/sophomores would be excluded generally as they would be too young to drive altogether
8 0
2 years ago
I need help on this question
Over [174]

1 bushel = 186 heads of lettuces

multiply each side by 6

6 bushels = 1,116 heads of lettuces

The farmer picked 1,116 heads of lettuces

3 0
2 years ago
What is the mean of the values in the dot plot?<br><br> Enter your answer in the box.
Alona [7]

Answer:45.3333333333333333333333333333333333333333333...

Step-by-step explanation: ad all of them together (272) divide them by 6 =45.33...

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3 years ago
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