When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.
Answer:
The equation is y= (-6/7)x - 10/7
Step-by-step explanation:
y=(slope)x + (y-intercept)
Usually I find the y-intercept first, but in the graph provided the y-intercept doesn't seem to be at exactly -1, instead i'd guess to be -1.1. But thats a guess so I cant do anything with that.
Instead lets start with slope, the slope formula is (y2-y1)/(x2-x1), as we are given the 2 points (-4,2) and (3,-4) we simply plug in those numbers to get the slope: (-4-2) / (3 - (-4) ) = -6/7 which is the slope. This number is negative which makes sense as the line is going down.
Now the equation is this:
y= (-6/7)x + b
To find the y-intercept we pick one of the two provided points (which one we pick doesn't matter), i'll pick the (-4,2). We plug that into the current equation: y= (-6/7)x - b -> 2= (-6/7)*-4 - b. And solve for b, the y intercept. We get the y-intercept to be -10/7. Which in decimal is -1.42 which is close to -1.1.
Resulting with the answer:
y= (-6/7)x - 10/7
-5,5 you are welcome:) good luck
