Complete the table and write the equation x | y
? | 1.5
-1 | 4
0 | ?
3 | 9
15 | ?

Equation: y = x +

All results in the explanation

Step-by-step explanation:

To make the equation of the line, we only need two points. Select from the table the points (-1,4) and (3,9).

First, find the slope of the line:

We know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

Substituting:

This value is used in the slope-point form of the line:

Where (h,k) is a point from the table, select for example (3,9):

Operate:

The equation of the line is:

Now complete the table.

For x=0:

For x=15

y=24

For y=1.5, find x:

Operate:

Multiply by 4:

Solve:

x=-3

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step-by-step explanation:

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p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).