Question

What is the equation fir the graph below1. y=2/5x+42. y= -2/5x+43. y= 4/1x-2/54. y= -5/2x+4

Answer 1

y = -2/5 x + 4 (option 2)

Step-by-step explanation:

Equation of line: y = mx + b

m = slope, b = y-intercept

Slope formula:

`m\text{ = }(y_2-y_1)/(x_2-x_1)`

Using points (5, 2) and (0, 4)

`\begin{gathered} x_1=5,y_1=2,x_2=0,y_2\text{ = }4 \\ \text{slope = }(4-2)/(0-5)=\text{ }(2)/(-5) \\ \text{slope = -2/5} \end{gathered}`

The y -intercept is point the line crosses the y axis. The point is at y = 4

b = 4

The equation of the line becomes:

y = -2/5 x + 4 (option 2)