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A coordinate plane with a line passing through points (1, 2) and (4, 4)
The slope of the graphed line is . Which formulas represent the line that is graphed? Check all that apply.

y – 1 = (x – 2)
y – 2 = (x – 1)
y – 4 = (x – 4)
f(x) = x +
f(x) = x +

Respuesta :

A straight line is represented by a linear equation given below.

The points are given as (1, 2) and (4, 4).

Start by calculating the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

So, we have

[tex]m=\frac{4-2}{4-1} \\m=\frac{2}{3}[/tex]

What is the slope-intercept form of the line?

The equation in slope-intercept form is then calculated as:

[tex]y=m(x-x_1)+y_1[/tex]

So, we have:

[tex]y=\frac{2}{3}(x-1)+2\\ \\y=\frac{2}{3}(x-4)+4\\[/tex]

Expand

[tex]y=\frac{2}{3}(x-1)+2\\ y=\frac{2}{3} x-\frac{2}{3}+2[/tex]

Take LCM

[tex]y=2/3x+4/3[/tex]

Multiply through by 3

3y=2x+4

So, the possible equations are:

.[tex]3y=2x+4\\y=\frac{2}{3}x+\frac{4}{3} \\y=\frac{2}{3}(x-1)+2\\y=\frac{2}{3}(x-4)+{4}[/tex]

To learn more about linear equations visit:

brainly.com/question/11897796

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Answer:

B

C

E

Step-by-step explanation:

other dudes are  wrong

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