Answer
Option C is correct.
Explanation
We are told that the equation of a straight line is
y = 3x + 9
We are then told that if the 9 is replaced with a 3, what does this indicate?
When graphs are shifted upwards or downwards along the y-axis, the effect of this translation is shown in the new equation for the graph.
If a graph, y = f(x) is moved a units upwards on the y-axis, the new graph has an equation of y = f(x) + a
If a graph, y = f(x) is moved b units downwards on the y-axis, the new graph has an equation of y = f(x) - b
So, when a graph of y = 3x + 9 changes to y = 3x + 3, it indicates that 6 units have been subtracted from the original function; showing that the original function has been moved 6 units downwards.
Hope this Helps!!!
y = 3x - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
here slope m = 3
y = 3x + c ← is the partial equation
to find c substitute (- 2, - 7 ) into the partial equation
- 7 = - 6 + c ⇒ c = - 7 + 6 = - 1
y = 3x - 1 ← equation in slope- intercept form
Y = 4x + 4
-8x + 3y = 5
-8x + 3(4x + 4) = 5
-8x + 12x + 12 = 5
-8x + 12x = 5 - 12
4x = -7
x = -7/4
y = 4x + 4
y = 4(-7/4) + 4
y = -7 + 4
y = -3
solution is (-7/4,-3)
