Mathematics
Grade10
Easy
Question
Write the equation in point-slope form for the line that contains the points
(0, -2) and (3, 4)
- y - 5 = 2(x + 3)
- y + 5 = 2(x - 3)
- y - 3 = 2(x + 5)
- y + 3 = 2(x - 5)
Hint:
using the points calculate slope
and then using the point and slope to write equation .
The correct answer is: y + 5 = 2(x - 3)
The points (0, -2) and (3, 4).
Slope formula ![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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)
Step 1 : Substitute points we get slope as
4 - (-2) / 3 - 0
= 6 / 3
= 2
m = 2 , is our slope
Step 2 :Point slope form y - y1 = m (x - x1)
Substitute point (3, 4) and m value.
y -4 = 2 (x -3). is the final equation that we get .
the equation in point slope form
y - y1 = m( x-x1)
where