Question

Find an equation for the line

Answer 1

`y=(3)/(5)x+(7)/(5)`

Explanation:

Slope (m) formula:
`(y_2-y_1)/(x_2-x_1)`

`m=(y_2-y_1)/(x_2-x_1) \\\\m=(5-(-1))/(6-(-4)) \\\\m=(5+1)/(6+4) \\\\m=(6)/(10) \\\\m=(3)/(5)`

`y=mx+b`

`y=(3)/(5) x+b`

(-4, -1)

`y=(3)/(5) x+b\\\\-1=(3)/(5)(-4)+b\\\\-1=-(12)/(5)+b\\\\5(-1=-(12)/(5)+b)\\\\-5=-12+5b\\\\+12 +12\\\\7=5b\\\\/5 /5\\\\7/5=b`

`y=(3)/(5)x+(7)/(5)`

Hope this helps!