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GoddessofDork
So starting with the first prerequisite (parallel) the two lines have to have the same slope, so we are left with C and D as our answers.

To find which line passes through (-5,3), we will need to solve for the y-intercept. We will do that by replacing the x and y variable with -5 and 3.

[tex]3=4(-5)+b \\ 3=-20+b \\ 23=b[/tex]

Now that we solved for the y-intercept, we can see that the equation is [tex]y=4x+23[/tex], or D.
loumast
parallel means same slope and different y intercept. 4 is the slope in the first one and -9 is the y intercept. now, to find a line through a point use the formula
[tex]y - {y}_{1} = m(x - {x}_{1})[/tex]
where x1 and y1 are the coordinates you want and m is the slope. in order that's -5, 3 and like I said before, 4. then just solve and manipulate it so y is by itself.

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