Answer #4- y=3x-7
When an equation is parallel to another, it has the same slope but a different y-intercept. This means we already know that the equation is:
y=3x+b
To solve for b, substitute the given point into the equation and solve
2=3(3)+b
*multiply*
2=9+b
*subtract 9*
-7=b
The final equation for #4 is:
y=3x-7
Answer #5- y= -1/4x+4
With the knowledge of how to solve from the other equation, let’s do #5.
Our current equation, knowing the slope, is:
y= -1/4x+b
Now let’s solve for b
(-8,6)
6= -1/4(-8)+b
*multiply*
6=2+b
*subtract*
4=b
Answer #6- y=3/2x-20
Let’s solve #6 the same way we did with the other two equations.
Current equation:
y=3/2x+b
*substitute point*
-5=3/2(10)+b
*multiply*
-5=15+b
*subtract*
-20=b
Answer #7- y=2/3x-2
Our current equation is:
y=2/3x+b
*substitute point*
2=2/3(6)+b
*multiply*
2=4+b
*subtract*
-2=b
These are your answers! Hope this helps comment below for more questions :)