Question

Write the equation if the following graph (0,2) (4,1)

Answer 1

Step 1: Problem

write the equation if the following graph (0,2) (4,1)​

Step 2: Concept

Firstly, find the slope m

Secondly, the intercept c at the vertical axis.

The equation of a line is

y = mx + c

Step 3: Method

`\begin{gathered} \text{Slope m = }(y_2-y_1)/(x_2-x_1) \\ (\text{ 0, 2 ) and ( 4, 1 )} \\ x_1=0 \\ y_1\text{ = 2} \\ x_2\text{ = 4} \\ y_2\text{ = 1} \\ m\text{ = }\frac{1\text{ - 2}}{4\text{ - 0}} \\ m\text{ = }(-1)/(4) \\ \\ \text{Intercept c = 2} \end{gathered}`

Step 4: Final answer

Substitute m and c in the equation below to find the equation of the line.

y = mx + c

`y\text{ = }(-1)/(4)x\text{ + 2}`