Answer:
1) 2 (11) - 1/2
Explanation:
Given the following:
A line “t” is parallel to 3y = 6x + 9
Equation of a line;
y = mx + c
Where the Coefficient of x, 'm' is the gradient or slope and c is the intercept.
From the equation;
3y = 6x + 9
Divide through by 3
y = 2x + 3
Comparing the line equation with the equation provided :
Coefficient of x = 2, therefore 2 = slope
Since line t is Parallel to y = 2x + 3
Then, slope of line 't' is the same as that of y:
Slope of line 't' = 2
(11) For perpendicular lines :
Slope of original line : 3y = 6x + 9
Divide through by 3
y = 2x + 3
Compare to line equation:
y = mx + c
m = gradient/ slope, c = intercept
Gradient of original line, m = 2
For a line 'r' perpendicular to y = 2x + 3
Gradient, m of line r equals to the negative reciprocal of the gradient of original line
Therefore, gradient of r equals :
-1/2