Question

Write an equation parallel to y = 3x + 6 that passes through the point (4,7).Remember to type the" - "if a number is negative, such as-2.y =X +

Answer 1

The equation that is parallel to y = 3x + 6 has the same slope as y, namely 3; therefore, we already know that the equation we are seeking has the form

`y=3x+b`

Now we just need to solve for the y-intercept b, and to do that we use the point (4, 7 ). Putting x = 4 and y = 7 into the above equation gives

`7=3(4)+b`
`7=12+b`
`\therefore b=-5`

Hence, the equation that is parallel to y = 3x + 6 that passes through the point (4,7) is

`y=3x-5`