Question

Write the equation for a line containing the point (0,2) and a slope of -7 (y=mx+b)

Answer 1

`y=-(7)/(1)x+2`

Explanation:

The slope of -7=

`-(7)/(1)`

so fractional slope is

`y=mx+b`

Substituting slope into a fraction,

`y=-(7)/(1) x+b`

Point is 0,2 so substitute in x and y.

`2=-(7)/(1) (0)+b`

Solve the equation.

`b=2`

So the equation for the line is

`y=-(7)/(1)x+2`

Hope this helps :D

Answer 2

Y = -7x + b
2 = 0 + b, b = 2
Y = -7x + 2