7 1/3 ÷ 4 Please help
2 answers:
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Given that a triangle in the coordinate plane has coordinates of (3, 5), (1, −3), and (−3, 4). Now these points are translated and the new coordinates are (1, 7), (−1, −1), and (−5, 6).
Questioon says to find which type of translation occured from the given choices.
It can be easily found by drawing the given coordinates.
Original position of the triangle is drawn in Brwon colour.
New position of the triangle is drawn in Green colour.
From graph we can clearly see that each of the original coordinate moves two unit left then 2 units upward to get new coordinate.
Hence choice "A) It moved left two units and up two units." is the final answer.
Correct answer: y = x + 2
To find out the slope, you would need to remember this slope formula: . We can use the two points provided on the graph to figure out the slope. We can label (3, 3) as
and
, and (0, 2) as
and
. Now we can plug these numbers into the slope formula to find out the slope:
m = →
→
→
To find out the y-intercept, just substitute (3, 3) into the slope-intercept<em> </em>formula ( <em>y = mx + b</em> ) with the slope that is substituted for '<em>m</em>' that we already solved earlier.
y = mx + b
(3) = (3) + b
3 = 1 + b
2 = b
You can also prove this true by looking at the graph provided. The line intersects at the y-axis at 2.
Now we know that m = and b = 2, we can substitute it into the slope-intercept formula. Thus, the answer is y =
x + 2.
Hope this helps you! Let me know if you have any more questions related to this problem.