Question

How do you find the intercepts for `y= 7x + 3`?

Answer 1

x: (`-3/7,0`)
y: (`0,3`)

Explanation:

x-intercept: set y=0
`\color(red)(0)=7x+3`
`-3=7x`
`-3/7=x`

y-intercept: set x=0
`y=7(\color(red)(0))+3`
`y=0+3=3`

Alternatively, you can already find the y-intercept because it is in the setup of the equation.
`y=mx+b` where `m=\text(slope)=7` and
`b=\text(y-intercept)=3`.