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consider the linear equation y = 2x - 4. Write an equation in slope intercept form for the line parallel to the given line through (-1, 6)

Answer :

the form of the linear equation is

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

with the given equation we have

[tex]y=2x-4[/tex]

where m=2, m is the slope of the line

if we have parallel lines the slope needs to be the same

so in order to find a linear equation parallel to y=2x+4

we use the slope m=2 and the point given (-1,6)

[tex](y-y_1)=m(x-x_1)[/tex]

where (-1,6)=(x1,y1)

then

[tex](y-6)=2(x+1)[/tex][tex]y=2x+2+6[/tex][tex]y=2x+8[/tex]

the equation of the line parallel to y=2x-4 is y=2x+8

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