Find the intercepts and use them to graph the equation.
y=x-6
A)what are the intercepts
B) how do I graph this?
for x-intercept , let y = 0
so 0 = x-6 ---> x=6 or the the point (6,0)
for y-intercept , let x = 0
so y = 0-6 = -6, or the point (0,-6)
you have 2 points, plot them and join with a line
To find the intercepts of the equation y = x - 6, you need to determine the points where the graph crosses the x-axis (x-intercepts) and y-axis (y-intercepts).
A) To find the x-intercept, we set y = 0 and solve for x.
0 = x - 6
x = 6
So the x-intercept is (6, 0).
B) To find the y-intercept, we set x = 0 and solve for y.
y = 0 - 6
y = -6
So the y-intercept is (0, -6).
To graph the equation, plot the x-intercept at (6, 0) and the y-intercept at (0, -6). Connect these two points with a straight line. Since the equation is in slope-intercept form (y = mx + b) with m = 1 (the coefficient of x) and b = -6 (the y-intercept), the slope of the line is 1. This means that for every increase of 1 in x, y increases by 1.
You can plot a few more points using this fact. For example, if we increase x by 1 (from the x-intercept), y would increase by 1 as well. So you can plot another point at (7, 1). Similarly, for x = 4, y = -2, and so on.
Once you have a few points, draw a straight line passing through these points. This line represents the graph of the equation y = x - 6.