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

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

`\text{ slope = }(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 =-}(5)/(4) \end{gathered}`
`\begin{gathered} \text{ }\frac{y_{}-y_1}{x_{}-x_1}\text{ = slope} \\ \\ \frac{y_{}-y_1}{x_{}-x_1}\text{ = - }(5)/(4) \\ \end{gathered}`

Picking point (4,0);

`x_1=4andy_1=\text{ 0}`
`\frac{y\text{ - 0}}{x\text{ -4}}\text{ = - }(5)/(4)`

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