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2 years ago

13. The table represents some points of a linear function.

Mathematics

1 answer:

RUDIKE [14]2 years ago

8 0

Answer:

y=-4x-18

Step-by-step explanation:

To find the slope of the function, you need two points in order, the first point having its x and y coordinates labeled as x1 and y1, and the second point having its coordinates labeled as x2 and y2. then, use the equation for slope, which is m=(y2-y1)/(x2-x1), and plug in the numbers. You should get m=(-10+2)/(-2+4)= -8/2= -4.

Then, use the slope and a point on the graph, and plug it into point slope form, which is y-y1=m(x-x1). No matter what point you use, you should get the same thing. I used the point (-2, -4). Using this point, the steps to arrange the equation in slope intercept form is: y+2=-4(x+4)=> y+2=-4x-16 => y=-4x-18.

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Write an equation for the proportional relationship shown in the table

Papessa [141]

Answer:

y =74x

Step-by-step explanation:

A proportional relationship is represented by y = kx where x is the independent variable, or input, k is the constant of proportionality, and y is the dependent variable or output.

What do we do to the values in the row for x to get the values in the row of y?

It helps to have x = 1 in this table.

74 = (k)(1)

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3 years ago

Suppose you are walking home after school. The distance from your home to school is 5 km. on foot, you can get home in 1/2 mins.

Sholpan [36]

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

7. The points (3,5) and (2, y) are on a line with a slope of 3. Find y.

PtichkaEL [24]

Answer:

We get value of y: y = 2

Step-by-step explanation:

The points (3,5) and (2, y) are on a line with a slope of 3. Find y.

We can find y using formula of finding slope of a line.

The formula is: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We have $x_1=3, y_1=5, x_2=2, y_2=y$ and Slope = 3

Putting values and finding y

$Slope=\frac{y_2-y_1}{x_2-x_1}\\3=\frac{y-5}{2-3}\\3=\frac{y-5}{-1}\\-1(3)=y-5\\-3=y-5\\y=-3+5\\y=2$

So, we get value of y: y = 2

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2 years ago

What is the equation of the line that passes through the point (-6,-8) and has a slope of 1/3

Arturiano [62]

y + 8 = 1/3 (x+6)

With the given information, we can use the point-slope formula, , to write the equation of the line. Substitute values for the , , and in the formula to do so.

The represents the slope, so substitute in its place. The and represent the x and y values of one point the line intersects, so substitute -6 for and -8 for . This gives the following answer and equation (just make sure to convert the double negatives into positives:

8 0

2 years ago