Question

Use the graph below to find the equation for the line. If a value is not an integer type it as a decimal rounded to the nearest hundredth. Do not put any spaces between your characters.line with y intercept at (0,5) and x intercept at (4,0)The equation for the line is g(x)= Answer

Answer 1

SOLUTION:

From the given graph, the y intercept is at (0,5) and x intercept is at (4,0).

$\text{ slope = }\frac{y_2-y_1}{x_2-x_1}$$x_1=0,x_2=4,y_1=5andy_2=\text{ 0}$$\begin{gathered} \text{Slope = }\frac{0\text{ - 5}}{4\text{ - 0}} \\ \text{Slope =-}\frac{5}{4} \end{gathered}$$\begin{gathered} \text{ }\frac{y_{}-y_1}{x_{}-x_1}\text{ = slope} \\ \\ \frac{y_{}-y_1}{x_{}-x_1}\text{ = - }\frac{5}{4} \\ \end{gathered}$

Picking point (4,0);

$x_1=4andy_1=\text{ 0}$$\frac{y\text{ - 0}}{x\text{ -4}}\text{ = - }\frac{5}{4}$

$\begin{gathered} -\text{ 4y = 5 (x - 4)} \\ -\text{ 4y = 5x - 20} \\ y\text{ = -}\frac{5}{4}x\text{ + }\frac{20}{4} \\ \\ y\text{ = - 1.25x + 5} \end{gathered}$