Write an equation of a line given (0,4) & is parallel to y=3x-7

robbbiehu 2022-10-13 Answered
Write an equation of a line given (0,4) & is parallel to y=3x-7
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Answers (1)

Ostrakodec3
Answered 2022-10-14 Author has 18 answers
To solve this problem, we'll need to use our friend the point slope formula. (You'll use this formula in more advanced math more often then you think!)
Point slope formula is: $y-{y}_{1}=m\left(x-{x}_{1}\right)$
${x}_{1}$ and ${y}_{1}$ are the x and y values for the coordinate it gives you and m is your slope which is attained from the equation it gives.
If it's parallel to the line, then it must have an equal slope. The line is given in y=mx+b form so we find that the slope (m) is 3.
Looking at our coordinates the x coordinate is 0 and the y coordinate is 4 so that gives us ${x}_{1}=0$ and ${y}_{1}=4$ which is all we need to finish the problem.
y−4=3(x−0)
Now we solve for y by distributing the 3 on the right side and adding 4 to both sides.
y=3x+4
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