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find the equation of the line connecting the two points (4,9) and (3,2). write in answer in slope-intercept form

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James Z. | Recent Harvard Graduate for Math and Science TutoringRecent Harvard Graduate for Math and Sci...
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First, we want to calculate the slope.

m=(9-2)/(4-3) = 7

We know the form of a line in slope-intercept form is y=mx+b, and we have found m to be 7.

Therefore, y=7x+b

Let us use the point (3,2) to find b.

2=7(3)+b, or 2=21+b

Solving for b, we get b=-19.

Therefore, the equation of the line in slope-intercept form is y=7x-19.