Answer: 3
Step-by-step explanation: 2+2-1=3
3 6 7 4
+ 6 7 8 9
~~~~~~~
10 4 6 3
The equation

is plotted on graph below (red line)
Translating

three units to the left can be done by choosing any coordinates on

.
Let choose (0,0) and (2,1)
Translating 3 units on to the left gives the new coordinates (0-3, 0)=(-3,0) and (2-3, 1)=(-1, 1)
The gradient of the two functions will stay the same since the lines are parallel to each other, so m = 0.5
By joining the two coordinates (-3,0) and (-1,1), we see that the translated line crosses y-axis at 1.5
The equation of translated line is given


Answer:
- 1) y = (-2/3)x +2/3
- 2) y = (6/5)x -23/5
- 5) y = (-1/6)x +4/3
- 6) y = x -2
Step-by-step explanation:
A simple, mechanical way to do these (perpendicular lines) is ...
- replace any constant with 0
- swap the x- and y-coefficients, negating one
- for point (h, k), replace x with (x-h) and y with (y-k)
- solve for y (to get slope-intercept form)
1) 3x -2y = 0 . . . . . step 1
... 2x +3y = 0 . . . . step 2
... 2(x -1) +3(y -0) = 0 . . . . step 3
... 2x -2 = -3y . . . . eliminate parentheses, subtract 3y
... y = (-2/3)x +2/3 . . . . divide by the coefficient of y
2) 6(x -3) -5(y +1) = 0 . . . . after step 3
... 6x -23 = 5y . . . . . . . . . . simplify, add 5y
... y = (6/5)x - 23/5 . . . . . divide by the coefficient of y
5) (x+4) +6(y-2) = 0 . . . . . after step 3
... x -8 = -6y . . . . . . . . . . . simplify, subtract 6y
... y = (-1/6)x +4/3 . . . . . . divide by the coefficient of y
6) (y +5) = (x +3) . . . . . . . after step 3
... y = x -2 . . . . . . . . . . . . subtract 5
Answer:
d
Step-by-step explanation: