Enter an equation in slope-intercept form for the line parallel to the given line and passing through the given point. y = 1 3 x + 10;(12,

Question

Enter an equation in slope-intercept form for the line parallel to the given line and passing through the given point.    y =   1 3  x + 10;(12,

Patricia D. · Accepted Answer

The way you typed it in, I think maybe you meant that the equation was y = 1/3 x + 10.

A line parallel has the same slope which is 1/3. Using the point-slope form you know that the equation is

y - y1 = 1/3( x - x1) the given point is (x1, y1). You have given x1 to be 12, but you did not type in the y1.

This will give you y -y1 = 1/3(x - 12)

y - y1 = 1/3 x - 4 or

y = 1/3 x - 12 + y1 If you know y1, substitute it in and simplify .

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