Write an equation of the line - Show Work Please

Question

Parallel to y = x - 1

Y - interecept: 3/4

 

Equation needs to be in slope-interecept form

 

 

Answer 1

A line's equation in slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

The problem gives us a key piece of information: the line is parallel to y=x−1. Parallel lines have the same slope, meaning that the slope of our new line is m = 1.

The problem also gives us the y-intercept directly, stating it's 43​, so b = 43.

By substituting these values into the slope-intercept form, we get the equation:

y=(1)x+43​

y=x+43​

Answer 2

Each of these are done the same way, Crissel. 

 

What is the slope of y = x - 1? Since it is parallel to our line, then they will have equal slopes. 

 

Again, once you determine the slope, plug into the equation

 

y = mx + b