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Mila [183]
1 year ago
8

Find the value of c if a line with slope 3/4 passes through the points (1,8) and (5,c) PLEASE HELP

Mathematics
1 answer:
seropon [69]1 year ago
5 0

The value of c, if a line with a slope of 3/4 that passes through the points (1,8) and (5,c), is 11.

<h3>What is the equation of a line?</h3>

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

Given that the line has a slope of 3/4 and passes through the point (1,8). Therefore, we need to substitute the slope and the coordinates in the equation of the line, to get the value of the y-intercept.

y = mx + c

8 = (3/4)(1) + c

8 = (3/4) + c

c = 8 - (3/4)

c = 29/4

Now, the line also passes through (5,c), therefore, if we substitute the value of slope and y-intercept in the equation,

y = mx + c

c = (3/4)(5) + (29/4)

c = (15/4) + (29/4)

c = 44/4

c = 11

Hence, the value of c, if a line with a slope of 3/4 that passes through the points (1,8) and (5,c), is 11.

Learn more about Equation of Line here:

brainly.com/question/21511618

#SPJ1

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3 years ago
Juanita and Keenan own a camping supply store and just put in an order for flashlights and sleeping bags. The number of flashlig
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Juanita and Keenan ordered 85 flashlights and 17 sleeping bags.

Step-by-step explanation:

Given,

Cost of each flashlight = $12

Cost of each sleeping bag = $45

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Let,

x represent the number of flashlights ordered

y represent the number of sleeping bags ordered

According to given statement;

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Putting value of x from Eqn 2 in Eqn 1

12(5y)+45y=1785\\60y+45y=1785\\105y=1785\\

Dividing both sides by 105

\frac{105y}{105}=\frac{1785}{105}\\y=17

Putting y=17 in Eqn 1

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Juanita and Keenan ordered 85 flashlights and 17 sleeping bags.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/12878495
  • brainly.com/question/12884757

#LearnwithBrainly

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