Mathematics
Grade10
Easy
Question
For the equation y - 3 = 2(x + 4), choose the correct statement.
- The line has m = 2 passing through the point (4, -3)
- The line has m = 2 passing through the point (3, -4)
- The line has m = 2 passing through the point (-4, 3)
- The line has m = 2 passing through the point (-3, 4)
Hint:
Given the line y - y1 = m (x - x1)
it is having slope as m and passes through ( x1 , y1 ) .
The correct answer is: The line has m = 2 passing through the point (-4, 3)
The equation y - 3 = 2(x + 4).
Step 1 : Point-slope form of equation of a line is y - y1 = m (x - x1)
Step 2 : Comparing
The line has m = 2
and x1 = -4 and y1 = 3
so , slope is 2 and it is passing through the point (-4, 3)
Line is having slope as m and passes through ( x1 , y1 ) .
