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3 years ago

X 1 2 3 4 5 Y 1 3 5 7 9

Mathematics

1 answer:

mina [271]3 years ago

6 0

Option D:

y = 2x – 1; y is twice x minus 1.

Solution:

Option A: y = 2x; y is double x

substitute x values in y = 2x, we get

For x = 1, y = 2(1) = 2

so, y = 2x is false.

Option B: y = 3x; y is triple x

substitute x values in y = 3x, we get

For x = 1, y = 3(1) = 3

so, y = 3x is false.

Option C: y = 2x + 1; y is twice x plus 1.

substitute x values in y = 2x + 1, we get

For x = 1, y = 2(1) + 1 = 3

so, y = 2x + 1 is false.

Option D: y = 2x – 1; y is twice x minus 1.

substitute x values in y = 3x, we get

For x = 1, y = 2(1) – 1 = 1

For x = 2, y = 2(2) – 1 = 3

For x = 3, y = 2(3) – 1 = 5

For x = 4, y = 2(4) – 1 = 7

For x = 5, y = 2(5) – 1 = 9

so, y = 2x – 1 is true.

Hence the expression for the table is y = 2x – 1; y is twice x minus 1.

Each value of y is double that of corresponding value of x, minus 1.

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How do i do this???????????????????????????????????

Karo-lina-s [1.5K]

Answer:

The y-intercept is (0, -6).

Step-by-step explanation:

The question is asking you to find the equation of the line that passes through the point (7, 1) and is parallel to line j, which means that the line has the same slope as line j.

To find the slope of line j, you would use the slope formula: $\frac{y_2-y_1}{x_2-x_1}$ .

Use the points on line j: (4, 1), (-3, -6). Substitute in -6 for $y_2$ and 1 for $y_1$ . Substitute -3 for $x_2$ and 4 for $x_1$ .
$\frac{(-6)-(1)}{(-3)-(4)} \rightarrow \frac{-7}{-7} = 1$
The slope of line j is 1, therefore the equation of the line we are writing will also have a slope of 1 since they must be parallel.

To write the equation of the line, use the point-slope formula because we are given the two things in the name of the formula---a point that the line passes through (7, 1) and the slope of the line (1).

Point-slope form is $y-y_1=m(x-x_1)$
Substitute 1 for $y_1$ , 1 for m, and 7 for $x_1$ .
$y-(1)=1(x-(7))$
Simplify: y - 1 = 1(x - 7)
Distribute 1 inside the parentheses.
y - 1 = x - 7
Add 1 to both sides of the equation.
y = x - 6

The question wants you to find the y-intercept of the equation. To find the y-intercept, make x = 0.

y = (0) - 6
Subtract 0 - 6.
y = -6

A point is shown as (x, y). We made x = 0 and found that y = -6, so if you substitute these values into (x, y) the y-intercept will be (0, -6).

5 0

4 years ago

Which steps should be used to graph the equation y – 4 = y minus 4 equals StartFraction one-third EndFraction left-parenthesis x

dalvyx [7]

Answer:

The steps are are explained below.

Step-by-step explanation:

Given:

The equation of the line is given as:

$y-4=\frac{1}{3}(x+2)$

The above equation is in point-slope form $y-y_1=m(x-x_1)$ .

Therefore, on comparing, we get

$x_1=-2,y_1=4,m=\frac{1}{3}$

So, the slope is one-third and point is (-2,4).

Now, following are steps for plotting the graph:

i. Plot the point (-2,4).

ii. Since the slope is one-third, it means we need to move 3 units to right from the point (-2,4) and then 1 unit up. So, after translating 3 units right and 1 unit up we mark the second point which is $(-2+3,4+1)\rightarrow )(1,5)$ .