Mathematics
Grade10
Easy
Question
Write the equation in point-slope form for the line that contains the points
(3, -5) and (5, - 1)
- y - 5 = 2(x + 3)
- y + 5 = 2(x - 3)
- y - 3 = 2(x + 5)
- y + 3 = 2(x - 5)
Hint:
Slope of a line that passes through (x1,y1), (x2, y2)
Point-slope form of equation of a line is y - y1 = m (x - x1)
The correct answer is: y + 5 = 2(x - 3)
Given The points (3, -5) and (5, - 1).
Step1 : calculating slope
Slope of a line that passes through (x1,y1), (x2, y2)
=
=2
Step 2 : making point slope form
Point-slope form of equation of a line is y - y1 = m (x - x1)
Substitute point (3, -5) and m value.
y + 5 = 2 (x -3)
y + 5 = 2 (x -3) , is desired equation .
First calculate the slope making use of two points
and then using slope and point construct the equation of line.