Question

What us the equation of the graph in slope interception of

Answer 1

the general equation of the line is

`y=mx+b`

where m is the slope and b the y-intercept represented as (0,b)

from the graph we can know the y-mtercept because is the point where the line touches the y-axis

so, is (0,-6) then b=-6

replace b

`y=mx-6`

ow to calculate the slope we can take a point from the line and replace

i will use (4,10)

so replacing

`\begin{gathered} (10)=m(4)-6 \\ \end{gathered}`

and solve for m

`\begin{gathered} 10+6=4m \\ 4m=16 \\ m=(16)/(4) \\ \\ m=4 \end{gathered}`

the slope is 4

Finally, repalce b and m to find the equation of the line

`y=4x-6`

so the right option is fourth