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what us the equation of the graph in slope interception of

Sagot :

the general equation of the line is

[tex]y=mx+b[/tex]

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

[tex]y=mx-6[/tex]

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

i will use (4,10)

so replacing

[tex]\begin{gathered} (10)=m(4)-6 \\ \end{gathered}[/tex]

and solve for m

[tex]\begin{gathered} 10+6=4m \\ 4m=16 \\ m=\frac{16}{4} \\ \\ m=4 \end{gathered}[/tex]

the slope is 4

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

[tex]y=4x-6[/tex]

so the right option is fourth

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