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