Mathematics
Grade10
Easy
Question
Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)
- y - 3 = 1(x - 2)
- y + 3 = 1(x + 2)
- y -3 = -1(x + 2)
- y + 3 = -1(x - 2)
Hint:
, where m is the slope and ( x1 , y1 ) and ( x2 , y2 ) are points
Point-slope form of equation of a line is y - y1 = m (x - x1)
The correct answer is: y + 3 = 1(x + 2)
Given points are (-2, -3), (4, 3)
Step 1 : calculating Slope
Slope ![m equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction](data:image/png;base64,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)
=![left parenthesis 3 plus 3 right parenthesis divided by left parenthesis 4 plus 2 right parenthesis](data:image/png;base64,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)
=1
Step 2 : Point-slope form of equation of a line is y - y1 = m (x - x1)
A line that passes through point (-2, -3) and has slope 1 is
y + 3 = 1(x + 2) , is the equation of the line .
Point-slope form of equation of a line is y - y1 = m (x - x1)