x-4y=8 can be writeen as
-4y=-x+8
or
y=1/4x-2
This is the slope intercept form of the line. It tells us the graph has slope of 1/4 and y intercept of -2
You could graph the point (0,-2) and then go up 1 and over to the right 4.
Or you could note that if y=0
1/4x=2
and x=8
so the point (8,0) is on the line ( it is the x intercept).
Graph (8,0) and (0,-2) and connect the dots.
The graph of the equation y=8 is a horizontal line through the y-intercept of 8. This is because since y=8, any point on the graph will have a y-coordinate of 8. This is why it is a horizontal line through (0,8).
y=-5x+8 the slope is -5.
They are the same equation just written differently so they are both easy to graph.
10
No, y=8 is a fixed value. A linear equation would look something like y=x+8 - That would produce a straight line graph if the values of x & y were plotted against each other on a graph.
The graph of the equation y=8 is a horizontal line through the y-intercept of 8. This is because since y=8, any point on the graph will have a y-coordinate of 8. This is why it is a horizontal line through (0,8).
y=-5x+8 the slope is -5.
They are the same equation just written differently so they are both easy to graph.
10
No, y=8 is a fixed value. A linear equation would look something like y=x+8 - That would produce a straight line graph if the values of x & y were plotted against each other on a graph.
The graph of is shifted 3 units down and 2 units right. Which equation represents the new graph?
The line 8x-8=0 is the same as x=1. The graph looks like a vertical line that intersects the x axis at x=1.
y=x+8 is a linear equation. Y is the Y point on a graph, X is the slope, and 8 is the y intercept
The first thing to not is that the only powers of x and y in the equation are one. That means the graph is a straight line. Any two points on a straight line determine the whole of the straight line. So solve the equation for x = 0 and for y = 0. Thus, when x = 0, the equation becomes y = 8 - 0 ie y = 8 so (0, 8) is a point on the graph. and when y = 0, the equation becomes 0 = 8 - x ie x = 8 so (8, 0) is another point on the graph. Join up these two points and extend the line further in both directions.
Yes.
8
if A=LW and say L=8 and W=8 then A=64 The equation A equals LW is an example of A.