Question

HURRY PLEASE!


Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?
Oy=2x-2
O y = 2x + 2
O y = x + 2
O y = x-2

Answer 1

So the final equation of line passing through (0, 2) and (4, 6) is:

$y=x+2$

Further explanation:

Given points are:

(0,2) and (4,6)

We have to find the slope first

Let

(x1,y1) = (0,2)

(x2,y2)= (4,6)

Then

$m=\frac{y_2-y_1}{x_2-x_1}\\=\frac{6-2}{4-0}\\=\frac{4}{4}\\=1$

The slope is m=1

The general form of lope-intercept form is:

$y=mx+b\\Putting\ the\ value\ of\ slope\\y=(1)x+b\\y=x+b$

To find b we have to put one point in the equation

So, putting (0,2) in the equation

$2=0+b\\b=2$

Putting the values of b and m in equation

$y=x+2$

So the final equation of line passing through (0, 2) and (4, 6) is:

$y=x+2$

Keywords: Slope of line, Point-intercept form

Learn more about derivation of equation of a line at:

• brainly.com/question/3126500
• brainly.com/question/2821386

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