Q: What is the equation of a line through the point (2 17) and has a slope of 7?

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That will depend on the value of the slope which has not been given.

You can have infinitely many lines through one specific point, each with a different equation. If you want to have a general equation for ANY line that goes through that point, use the point-slope equation for a line, and use a variable for the slope.

When it is a line through the origin.

Given a point P = (a,b) and slope m, the equation of a line through P with slope m is (y-b) = m(x-a)

If given simply the slope of a line and a point through which it passes, and then told to find the equation of the line, one of the easiest ways of doing so is to use the point-slope formula.

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That will depend on the value of the slope which has not been given.

You can have infinitely many lines through one specific point, each with a different equation. If you want to have a general equation for ANY line that goes through that point, use the point-slope equation for a line, and use a variable for the slope.

If you mean a slope of -10 through the point (1, 4) then the equation is y = -10x+14

If you mean a slope of -12 through the point (5, 3) the equation is y = -12x+63

Write the equation of a line in slope-intercept form that has a slope of -2 and passes through the point (2, -8).

When it is a line through the origin.

Given a point P = (a,b) and slope m, the equation of a line through P with slope m is (y-b) = m(x-a)

If you mean slope of -10 and point of (1, 4) then the equation is y = -10x+14

If you mean: slope of -13 and point of (5, 7) then the equation is y = -13x+72

The point slope equation is (y - 9) = 5*(x - 4)

It is: y = -10x+14

It is: y = -10x+14