Find, in point-slope form, the equation of the graph with slope 4 that passes through the point (2, -3).
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 𝑚
times 𝑥 minus 𝑥 one, where the point is 𝑥 one 𝑦 one and the slope is 𝑚. 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
So we have 𝑦 minus 𝑦 one. So 𝑦 minus negative three equals 𝑚 which is four times 𝑥
minus 𝑥 one, so 𝑥 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 𝑥 minus two. And again, this is in point-slope form.
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