Question

Use the information below to create a linear equation that satisfies the conditions. Type your equation in the form y=mx+b if a value is not an integer then type it as a decimal rounded to the nearest hundredth. Do not put any spaces between your characters.Goes through points (2,4) and (4,10)the equation is f(x)=Answerf(-4)=18, and f(4)=2the equation is f(x)=Answerx intercept at (-5,0) and y intercept at 0,4)the equation is f(x)=Answer

Answer 1

1. The coordinates of the equation is given (2,4) , (4,10)

The equation formed from the coordinates is

$y-4=\frac{10-4}{4-2}(x-2)$$y-4=\frac{6}{2}(x-2)$$y-4=3x-6$$y=3x-2$

The equation formed is y=3x-2.

2. The equation for the given coordinates f(-4)=18, and f(4)=2 is

$y-18=\frac{2-18}{4+4}(x+4)$$y-18=-2(x+4)$$y=-2x-8+18$$y=-2x-10$

The equation formed is y=-2x-10.

3. The equation formed from x intercept at (-5,0) and y intercept at 0,4)

$y-0=\frac{4-0}{0+5}x+5$$y=\frac{4}{5}x+5$

The equation formed is

$y=\frac{4}{5}x+5$