Question

Write the slope-intercept form of the equation that passes through the point (2, 3) and is parallel to the line y = 5/8x - 7

Answer 1

`y = (5)/(8) x+(7)/(4)`

Explanation:

We are to write the slope intercept form of the equation which passes through the point (2, 3) and is parallel to the line
`y = (5)/(8) x-7`.

We know that the standard (slope-intercept) form of an equation of a line is given by:
`y=mx+c`

where
`m` is the slope and
`c` is the y-intercept.

Since we are to find the equation of the line parallel to the given equation so its slope will be same as of
`y = (5)/(8) x-7`.

Finding the y-intercept:

`y=mx+c`

`3=(5)/(8)(2)+c`

`c=(7)/(4)`

Therefore, the equation will be
`y = (5)/(8) x+(7)/(4)`.

Answer 2

Answer:
`y=(5)/(8)x+(7)/(4)}`

Explanation:

The slope-intercept form of a equation of the line is:

`y=mx+b`

Where m is the slope and b the y-intercept-

If the lines are parallel then they have the same slope:

`m=(5)/(8)`

You can find the value of b by substituting the point given and the slope into the equation and solving for b:

`3=(5)/(8)*2+b\\b=(7)/(4)[`

Then the equation is:

`y=(5)/(8)x+(7)/(4)}`