07.11.2022

Create an equation that has x intercepts of -2 and 5 and opens down

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Step-by-step answer

09.07.2023, solved by verified expert

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Mathematics
Step-by-step answer
P Answered by PhD

(see explanation below)

Step-by-step explanation:

The x-intercept is where the line intersects with the x-axis. If you look at the given line in the coordinate plane, you can see that the line intersects the x-axis at (-2, 0). Therefore, the x-intercept is -2.

The y-intercept is where the line intersects with the y-axis. If you look at the given line in the coordinate plane, you can see that the line intersects the y-axis at (0, 4). Therefore, the y-intercept (also represented by the variable b) is 4.

Mathematics
Step-by-step answer
P Answered by PhD

(see explanation below)

Step-by-step explanation:

The x-intercept is where the line intersects with the x-axis. If you look at the given line in the coordinate plane, you can see that the line intersects the x-axis at (-2, 0). Therefore, the x-intercept is -2.

The y-intercept is where the line intersects with the y-axis. If you look at the given line in the coordinate plane, you can see that the line intersects the y-axis at (0, 4). Therefore, the y-intercept (also represented by the variable b) is 4.

Mathematics
Step-by-step answer
P Answered by PhD

Required equations in standard form are:

1. 3x+4y=12

2. -5x+2y = 10

Step-by-step explanation:

Standard form of equation is given as:

Ax+By = C

1. x – intercept is 4 and y – intercept is 3.

The points will be:

(4,0) and (0,3)

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

m = \frac{3-0}{0-4}\\m = -\frac{3}{4}

Slope intercept form of line is:

y = mx+b

Putting the values of m and b(y-intercept)

y = -\frac{3}{4}x+3

Multiplying whole equation by 4

4y = -3x+12\\3x+4y = 12

2. x – intercept is -2 and y – intercept is 5

The points will be:

(-2,0) and (0,5)

Now

m = \frac{5-0}{0+2}\\m = \frac{5}{2}

Putting the values of m and b in slope intercept form

y = \frac{5}{2}x+5

Multiplying the equation by 2

2y = 5x+10

-5x+2y=10

Hence,

Required equations in standard form are:

1. 3x+4y=12

2. -5x+2y = 10

Mathematics
Step-by-step answer
P Answered by PhD
The slope of the line is

(9-5) / (4- -2) = 4/6 = 2/3 .

If the x-intercept is -2 and the y-intercept is 1, then the equation of the line is

y = 1/2 x + 1 .

None of the choices is correct.
Mathematics
Step-by-step answer
P Answered by Master

this the answer


Create an equation that has x intercepts of -2 and 5 and opens down
Mathematics
Step-by-step answer
P Answered by PhD
The slope of the line is

(9-5) / (4- -2) = 4/6 = 2/3 .

If the x-intercept is -2 and the y-intercept is 1, then the equation of the line is

y = 1/2 x + 1 .

None of the choices is correct.

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