Complete the equation of the line through (2,-2)(2,−2)left parenthesis, 2, comma, minus, 2, right parenthesis and (4,1)(4,1)left parenthesis, 4, comma, 1, right parenthesis. Use exact numbers.

Step-by-step explanation:

There are a couple of ways to solve this, depending on what you already know.

Point-Slope Form

 where m is the slope and is a point on the line.

First, calculate the slope using the two given points .

.

Fill in the point-slope pattern

There's the equation in slope-intercept form ().

Slope-Intercept Form

Use directly.

Find the slope just like the above, so .

Now, plug one of the points (either one!) together with m into

Now you know the value of b, so the equation for the line is

given : the shape of his satellite can be modeled by   where x and y are modeled in inches.

now,the given equation   is a equation of parabola.

here, coefficient of x is positive, hence the parabola opens rightwards.

on comparing this equation with standard equation , we get

in standard equation, coordinates of focus=(0,m)

thus for given equation coordinates of focus=(0,1.5)

step-by-step explanation: