The equation of the line that passes through the points (0,−4) and (2,−2)

Mathematics

2 answers:

aivan3 [116]3 years ago

7 0

Answer:

y = x - 4

Step-by-step explanation:

Use slope intercept form: $\frac{y2-y1}{x2-x1}$

-2 is y2, -4 is y1, 2 is x2, and 0 is x1. Plug in these values

$\frac{-2-(-4)}{2-0}$

$\frac{-2+4}{2}$

$\frac{2}{2}$

$1$

1 is the slope. Grab a y coordinate in one of the coordinate pairs. I will choose -2. Choose a x value too. I will choose 2. Plug in the values in the equation y = mx + b.

-2 = 2 + b

Figure out b.

b = -4

Since we know the value of b and the slope, plug in the values to y = mx + b.

y = 1x - 4 or y = x - 4

y = x - 4 is the equation. Let me know if I got anything wrong. I hope this helps!

allsm [11]3 years ago

4 0

Answer:

y = x - 4

Step-by-step explanation:

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3 years ago

Rationalize the denominator.

AlekseyPX

Hello and Good Morning/Afternoon!

Let's take this problem step-by-step:

What the problem asks for:

⇒ to rationalize the denominator

⇒ rationalize means that you multiply the numerator and

demonimator by the denominator

Let's put that into action:

$\frac{\sqrt{a +1}-2 }{\sqrt{a+1}+2 } * \frac{\sqrt{a +1}+2 }{\sqrt{a+1}+2 }\\=\frac{a +1-4 }{a+1+4\sqrt{a+1}+4 } \\=\frac{a-3}{a+4\sqrt{a+1}+5 }$ <== Answer