Problem

A line passes through the point (1,8) and has a slope of -9 .
Write an equation in slope-intercept form for this line.

Answer

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Answer

The equation of the line in slope-intercept form is y=9x+1

Steps

Step 1 :The slope-intercept form of a line is given by y=mx+c, where m is the slope and c is the y-intercept.

Step 2 :We know the slope m is -9, and we know that the line passes through the point (1,8). We can substitute these values into the equation to find the y-intercept c.

Step 3 :Substituting the values we get: 8=91+c

Step 4 :Solving for c we get c=1

Step 5 :Now that we have the y-intercept, we can write the equation of the line in slope-intercept form.

Step 6 :The equation of the line in slope-intercept form is y=9x+1

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