Question

Find the slope and the equation of the line having the points (0, 2) and (5, 5)

Answer 1

The slope is 3/5 and the equation is:

`y=(3)/(5)x+2`

Step-by-step explanation:

Given the points (0,2) and (5, 5)

The slope of a line is the ratio of the difference between the y coordinates to the x coordinates. The x coordinates are 0 and 5, the y coordinates are 2 and 5.

`\begin{gathered} m=(5-2)/(5-0) \\ \\ =(3)/(5) \end{gathered}`

The equation of a straight line is given as:

y = mx + b

Where m is the slope and b is the y-intercept

Using any of the given points, we can find b

Use (0, 2), with x = 0, y = 2

2 = (3/5)(0) + b

b = 2

Now the equation is:

`y=(3)/(5)x+2`