Write a linear equation provided the following key information: slope= 3/5, y-intercept= 6

A. y= 6 + 3/5
B. y= 3/5x + 6
C. y= 3/5 + 6
D. y= 6x + 3/5

Given:

Slope = and y-intercept = 6.

To find:

The linear equation for the given information.

Solution:

The slope intercept form of a linear equation is

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

Putting and b =6 in the above equation, we get

The required linear equation for the given information is .

Therefore, the correct option is B.

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.