Question

Andy wrote the equation of a line that has a slope of Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction. and passes through the point (3, –2) in function notation.

Answer 1

Andy's equation is incorrect and the correct equation of the line is y + 2= 3/4(x - 3)

How to determine the equation of the line?

The given parameters are:

Slope, m = 3/4

Point, (x,y) = (3,-2)

The equation of the line is calculated using:

y - y1 = m(x - x1)

Substitute the known parameters

y + 2= 3/4(x - 3)

From the question;

Andy's equation is y + 2 = 3/4(x - 9/4)

The above equation is different from the actual equation y + 2= 3/4(x - 3)

Hence, Andy's equation is incorrect and the correct equation of the line is y + 2= 3/4(x - 3)

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