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White raven [17]
3 years ago
11

Find the slope and y-intercept. Also, determine if it is Proportional or Non Proportional

Mathematics
1 answer:
lubasha [3.4K]3 years ago
8 0

Answer:

Step-by-step explanation:

Slope of a line passing through two points (x_1,y_1) and (x_2,y_2) is,

m = \frac{y_2-y_1}{x_2-x_1}

From the table attached,

Two points lying on the graph are (1, 12) and (2, 24).

Slope of the line will be,

m = \frac{24-12}{2-1}

Slope = 12

Since equation of a line passing through a point (x', y') and slope 'm' is,

y - y' = m(x - x')

Therefore, equation of the line passing through (1, 12) and slope 12 will be,

y - 12 = 12(x - 1)

y = 12x - 12 + 12

y = 12x

By comparing this equation with the equation,

y = mx + b

where 'b' = y-intercept = 0

Since, y-intercept is zero, table will represent the proportional relation between x and y.

Proportional or non proportional → Proportional

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Step-by-step explanation:

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Ms. Jacinto purchases 11 journals and 16 pencils for $53.33.

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Now solving these equations to find the value of x

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Multiply eq(1) with 2 and eq(2) with 5

36x+80y=190.84\\55x+80y=266.65\\-\:\:\:\:-\:\:\:\;\:\:\:\:\:\:\:-\\---------\\-19x=-75.81\\x=\frac{-75.81}{-19}\\x=3.99\\

We get the value of x is: x=3.99

Now, putting value of x in equation 1 to find value of y.

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