Step-by-step explanation:
Given ( 0 , 3) and slope (m) = 2
Now the equation of line is
y - y1 = m ( x - x1)
y - 3 =2 ( x -0)
y - 3 = 2x
2x - y +3 = 0
which is the required equation
Answer:
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Step-by-step explanation:
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


Adding the two equations, you get that 3x=9, so x=3. Since there is only one value of x, there is only one solution.
Answer:
subtract by -2 on both side
-4x+2-2>-14-2
-4x>-16
dividing by -4 on both side
-4x/-4>-16/-4
then
x>4