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Video: Finding the Equation of a Graph Given a Point and the Slope

Bethani Gasparine

Find, in point-slope form, the equation of the graph with slope 4 that passes through the point (2, -3).

00:59

Video Transcript

Find in point-slope form the equation of the graph with slope four that passes through the point two, negative three.

The point-slope form equation is 𝑦 minus 𝑦 one equals π‘š times π‘₯ minus π‘₯ one, where the point is π‘₯ one 𝑦 one and the slope is π‘š. Our point given was two, negative three and the slope was equal to four, so let’s go ahead and take our equation and plug these in.

So we have 𝑦 minus 𝑦 one. So 𝑦 minus negative three equals π‘š which is four times π‘₯ minus π‘₯ one, so π‘₯ minus two. Now let’s simplify the left-hand side, because the two negatives will turn into a positive. So in point slope form, the equation of this graph would be 𝑦 plus three equals four times π‘₯ minus two. And again, this is in point-slope form.