Question

Slope = 2/5; passes through (-3,1)

Answer 1

Presumably we're after the line with that slope through that point. In general the line through
`(a,b)` with slope
`m` is


`y-b = m(x-a)`

Here we have
`a=-3, b=1, m=\frac 2 5`


`y - 1 = \frac 2 5 (x--3)`


`y = \frac 2 5 x + \frac 6 5 + 1`


`y = \frac 2 5 x + (11)/(5)`

Check: The slope is clearly
`\frac 2 5`
so we check


`y = \frac 2 5 (-3) +(11)/(5) = \frac 5 5 = 1 \quad\checkmark`