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

Write an equation of a line given (0,4) & is parallel to y=3x-7
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

Ostrakodec3
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