Question 133836
Graph the equation and identify the y-intercept:
{{{y = 2x-6}}} First, to graph this linear equation, you need only to assign values to the indepedent variable, that's x, then calculate the corresponding value of the dependent variable, that's y.  Since a straight line requires only two points to define it, that's all you need to find. So, assign some convenient value to x, like zero, (x=0) for example, then find the corresponding value of y.
{{{y = 2(0)-6}}}
{{{y = -6}}} So here's your first point: (0, -6)
Now for the second point, let x = 3.
{{{y = 2(3)-6}}}
{{{y = 0}}} ...and here's your second point: (3, 0) 
Now. on your coordinate graph paper with the x- and y-axes drawn in, you mark these two points then draw a straight line through them to get your graph, easy, right?
As for the y-intercept, this is x- and y-location on your graph where the line you have drawn intersects the y-axis.
It happens that the x-value will be zero, so the y-value is -6 (0, -6) which happens to be one of the two points you got for the graph.
Here's a picture of the graph:
{{{graph(400,400,-5,5,-8,5,2x-6)}}}