A lane passes throught point (-2; 5) and has a slope of 2/3.
9Answer: The value of x is -5, and the value of y is 5.
Explanation:
Use the equation y=mx +c
y=2/3x+c; Substitute the slope (m) in
5=2/3(-2)+c; Substitute the point (-2,5)
5=-4/3+c; Make C the subject
c=19/3.
y=2/3x+19/3 - this is the equation of the line.
Next you start subbing the points A and B in separately, using the same equation.
Subbing A(x, 3):
3=2/3x+19/3; Make x the subject to find it.
-10/3=2/3x;
-5=x.
The point A is (-5,3).
Subbing B(-2, y):
y=2/3(-2)+19/3; y is already the subject and you just solve i
y=-4/3+19/3;
y=5.
The point B is (-2, 5).
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