To graph a line, first put the equation into slope-intercept form:
. So what can we do with our equation,
, to get it into slope-intercept form? If we divide both sides of the equation by
, we get
. This gives us several pieces of information. Remember that the
constant term, the one without a variable, tells us the y-coordinate of the y-intercept. The y-intercept is where the graph crosses the x-axis. So here, the constant term is 2; so the y-intercept is
(0,2). That is one of the points. Now what does the slope represent? It is rise/run. Here it is -1/3. So from our y-intercept, (0,2), we can go down one unit and to the right 3 units. This new point is
(3,1). From that point we can apply that again: go down 1 and right 3 units to get another point,
(6,0).
Answer:
(12, 40)
Step-by-step explanation:
The first thing is to assume that we have a point with the following coordinates (x, y).
Now, we can have two different cases since the meaning of the expansion of a point is moving to a new point that is a greater distance from the origin if we are expanding by a value, that is, an integer in the system of coordinates and the other case is that if we are dilating by a fraction that is between 0 <x <1, then the distance from the origin decreases.
Now, the point (x, y) goes through an expansion by a scale factor f (with the origin as the expansion point), then the new coordinate of the point = [f * x, f * y], that scale factor has the value of 3, so if we replace we have:
(3 * 4, 4 * 10) = (12, 40)
Answer:
10
Step-by-step explanation:
1518 divided by 26 is 58 remainder 10.
... 1518 = 26×58 + 10 = 1508 + 10
Mr. Stephens will make 58 trips with a full load. After that, 10 tons of rock will remain.
Answer:
its (1,3)
Step-by-step explanation:
this is a bit of bad explaining but if you draw a graph you can find it, the verticle intercept is 0,2 if you wanted to know that. and also since the answers are there you could try them out so like 3=2+1, that works, and kinda like that
