Write a linear equation that is parallel to the equation y=2x-7 and passes through the point (7,4)

Answer 1

Hi Ava,

Let me try and help you understand this problem.

For a line to be parallel, the slope must be the same.

Equation of a line is y=mx+b where m is the slope. so we already know that our equation should start with

y=2x+b.... now lets find b.

points are listed as (x,y) coordinates. now since we have x and y, plug them into your equation and solve for the missing variable, b.

y=2x+b

4=2(7)+b ; multiply 2 times 7

4=14+b ; subtract 14 to solve for b

-10 = b

CONGRATS! you now have all you need to write the equation.

answer: y=2x-10

Thank you for reading and i hope this made sense.

Contact me for any more help in Algebra 1.

-R