WEBVTT
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Find the slope of the line shown.
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Slope is equal to the vertical change divided by the horizontal change.
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And when looking at these changes, we need to go left to right.
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For a vertical change, up is positive and down is negative.
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And for horizontal change, right is positive and left is negative.
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So letβs go ahead and pick two points on this line.
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Here, we are at the point negative five, one and here, we are at the point negative one, negative four.
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So moving left to right, letβs look at the vertical change.
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We need to go down: one, two, three, four, five.
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So our slope is negative five divided by something β our horizontal change.
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So from here, we need to go right: one, two, three, four.
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And that will be positive four since we went to the right.
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And this does not reduce.
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So our slope will be negative five-fourths.
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Now we also could have solved this using the slope formula.
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And the slope formula π represents the slope.
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And it is equal to π¦ two minus π¦ one divided by π₯ two minus π₯ one.
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So negative five, one was the first point that we looked at.
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That would be π₯ one, π¦ one.
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And then, negative one, negative four will be π₯ two, π¦ two β our second point.
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So letβs go ahead and plug these in.
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π¦ two minus π¦ one would be negative four minus one.
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And then π₯ two minus π₯ one would be negative one minus negative five.
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So for our numerator, negative four minus one is negative five.
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And on the denominator, two negatives make a positive.
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So negative one plus five is positive four.
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So once again, our final answer is negative five-fourths.
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This is our slope of this line.