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Assuming you mean a straight line, then if the slope is m, and a point is (xo, yo) the equation for the line is given by:

y - yo = m(x - xo)

I was taught and remember the above format, but it can be rearranged into y = mx + c format as:

y = mx - mxo +yo

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Q: How do you find the equation of a line using the slope and a point?
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How does using the point-slope form of a linear equation make it easier to write the equation of a line?

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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How do you find an equation with a given slope?

Use point-slope formula


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By using the equation of a straight line y = mx+b whereas m is the slope of the line and b is the y intercept


How the slope of a curved line at a point can be found?

The slope of a curved line at a point is the slope of the tangent to the curve at that point. If you know the equation of the curve and the curve is well behaved, you can find the derivative of the equation of the curve. The value of the derivative, at the point in question, is the slope of the curved line at that point.


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What is an equation of the line that passes through the point 50 and is perpendicular to the line 5x 6y24 express your answer in slope-intercept form?

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Can the point slope formula be used to find an equation of any line?

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