Answer:
Step-by-step explanation:
One of the easier approaches to graphing a linear equation such as this one is to solve it for y, which gives us both the slope of the line and the y-intercept.
x-3y=-6 → -3y = -x - 6, or 3y = x + 6.
Dividing both sides by 3, we get y = (1/3)x + 2.
So the slope of this line is 1/3 and the y-intercept is 2.
Plot a dot at (0, 2). This is the y-intercept. Now move your pencil point from that dot 3 spaces to the right and then 1 space up. Draw a line thru these two dots. End.
Alternatively, you could use the intercept method. We have already found that the y-intercept is (0, 2). To find the x-intercept, let y = 0. Then x = -6, and the x-intercept is (-6, 0).
Plot both (0, 2) and (-6, 0) and draw a line thru these points. Same graph.
The rule that has been given means that x coordinate of some point we increase by 8 and y coordinate of some point we increase by 5.
Coordinates of K point on original Figure are:
(-2,-3)
once we implement rule on this we get K':
K' ( -2+8,-3+5)
or
K' ( 6,2)
Answer is third option.
Step-by-step explanation:
If two quantities x and y vary (change) together in such a manner that the ratio of their corresponding values remains constant, then x and y are said to be in direct proportion.
