Question

A line that is parallel to y=2x-4 and passes through the point (1, 1)

Answer 1

Hello there!

Parallel lines have the same slope. So if the slope of the line is
`\bf{y=2x-4}`, which it is, then the slope of the line that's parallel to that line is also
`\bf{2}`.

Now, we can plug that into the Point-Slope Formula:

• 
  `\implies\bf{y-y_1=m(x-x_1)}`
• 
  `\implies\bf{y-1=2(x-1)}`
• 
  `\implies\bf{y-1=2x-1}`
• 
  `\implies\bf{y=2x}`

Therefore, the equation is
`\bf{y=2x}`.

`\stackrel\heartsuit{\boxed{\boxed{\begin{minipage}{11cm} I hope this helps, feel free to ask if you \\ have any queries regarding my answer or explanation. \\Have a great day ahead!\end{minipage}}}}`

-Rosalia

Always Happy to Help! ^_^