Question

so there's two points on the line, (3,0) and (5,2) I know the equation y=mx+b but I don't know m and I don't know b im pretty confuzzled how to write it in sloper intercept form

Answer 1

Answer:

The equation of the line in slope-intercept form is:

y = x - 3

Step-by-step explanation:

Given the points (3, 0) and (5, 2)

The equation of a line in slope-intercept form is:

y = mx + b .....................................................(1)

Where m is the slope and b the y-intercept

To obtain the slope, we use the formula:

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ \\ =(2-0)/(5-3)=(2)/(2)=1 \end{gathered}`

Using the obtained m = 1, the equation now becomes

y = (1)x + b

OR

y = x + b ............................................................(2)

Using either of the given points (say (3, 0)), we have x = 3 and y = 0.

Substitute these into equation (2), we have:

0 = 3 + b

b = 0 - 3 = -3

Therefore, the required equation of the line in slope-intercept form is:

y = x - 3