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Write the equation of the line in fully simplified slope-intercept form

Write the equation of the line in fully simplified slope-intercept form-example-1

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Answer:

y = (1/5)x + 7

Explanation:

Slope intercept form is y=mx + b where m is the slope and b is the y intercept.

We can see the intercept is 7.

so y = mx + 7

Let's calculate the slope using substitution. Pick a point. Let's use (5,8)

y = mx + 7

8 = m(5) + 7

1 = 5m

1/5 = m

so y = (1/5)x + 7

Another way to calc the slope is (y2-y1)/(x2-x1)

Pick 2 points. Let's use (5,8) and (10,9)

=(8-9)/(5-10)

=-1/-5

=1/5

Either way, y = (1/5)x + 7

User Mischa Lisovyi
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