If you mean: y -4 = 3(x-1) then y = 3x+1 which is a straight line equation
The graphs of y = 5x - 2 and y = x - 2 will have different slopes but with the same y intercepts.
This is finding how far the point is on the x-axis and how far the point is on the y-axis.
f(x) and g(x) are just names of generic functions - they could be anything. In any specific case, where they intersect depends on how the functions are defined. In general, to find out where they intersect you can solve for: f(x) = g(x) Replacing the corresponding expressions for each function of course.
If the two at the end of these are exponents, like x^2, then these graphs would be reflections across the x-axis. Their graphs would be two parabolas. f(x) pointing up, and g(x) pointing down.
Each is the reflection of the other in the 45 degree diagonal line.
I don't know about synonyms, but the y intercept is the value of y when x = 0
y=f(x) and y =g(x) are two linear equation of x. the intersection of their graphs will tel the solution of the equation f(x)=g(x).
Line and bar graphs
x and y
y-3.6=1.6(x-1)
linear (ex. y=x+1) parabolic (ex. y=x**2) hyperbolic
well if you arent doing graphs and you don't know the values for x or y, then you are done
symmetric about the y-axis symmetric about the x-axis symmetric about the line y=x symmetric about the line y+x=0
The graphs of y = f(x) and y = a*f(x) when a = 1 are identical.
If you reflect a function across the line y=x, you will have a graph of the inverse. For trigonometric problems: y = sin(x) has the inverse x=sin(y) or y = sin-1(x)
They are reflected in the line of y=x