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45 votes
45 votes
Write an equation in standard form of the line that passes through the point and has thegiven slope.(-2, 4); m = -6None of the other answers are correctOy - 6x = 86x + y = -8Oy - 6x = -86x - y = 8

User Alexey Ruzin
by
3.1k points

1 Answer

15 votes
15 votes

the general form of the line is


y=mx+b

where m is the slope of the line and b the y-intercept

we get the slope from the statement m=-6


y=-6x+b

now to find the value of b we replace the point (-2,4) and solve for b


\begin{gathered} (4)=-6(-2)+b \\ 4=12+b \\ b=4-12 \\ b=-8 \end{gathered}

now replace the value of b


y=-6x-8

and transform to the standard form placing the unknows on the same side


y+6x=-8

we can reorganize


6x+y=-8

then right option is Third option

User RSA
by
2.6k points
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