Question

Which line has a slope of -5/8 and goes through the point [2,3]?

Answer 1

`y=-5/8x+17/4`

Explanation:

.

`m=-5/8`

`(2,3)`

The general equation of a straight line is:

`y=mx+b`, where `m` is the slope and `b` is the `y`-intercept.

`y=-5/8x+b`

Now, we can use the coordinates of the point in this equation to solve for `b`:

`3=-5/8(2)+b`

`3=-5/4+b`

`b=3+5/4=(12+5)/4=17/4`

The equation of the line is:

`y=-5/8x+17/4`

Answer 2

`y = -5/8 x + 17/4`

Explanation:

usual equation is `y= mx +b`
substitute the values
`3= 2(-5/8) + b`
`3=-5/4 +b`
`3+5/4=b`
`(12+5)/4 = b`
`17/4 = b`