Question

write the linear equation from the given information in slope intercept form passing through (2,3) and parallel to y=x-4

Answer 1

Problem

write the linear equation from the given information in slope intercept form passing through (2,3) and parallel to y=x-4​

Solution

For this case since the equation is parallel we need to have the same slope on this case m=1 since y = 1x-4

Now with the slope we have the following general form:

y= 1x +b

And we can sue the point x= 2 and y=3 to find b and we got:

3= 1*2 +b

b= 3-2=1

And then the equation would be given by:

y= x +1