The slope of the parallel line is -6/7
the slope of the perpendicular line is 7/6
the slope of the line = -6/7
the gradient of two parallel lines are equal
the product of the gradient of two perpendicular lines is -1
: the gradient m1*m2 = -1
m2= -1(-6/7)
m2= 7/6
Answer:
x=2/5 y−2
Step-by-step explanation:
Answer:
A) (3,-8); Reflection
Step-by-step explanation:
The question kind of gave you a hint. Look at how the coordinate point is arranged...
(-y,-x)
That means all positive become negatives and all negatives become positives. This gives you the coordinate of (3,-8).
As for reflection or rotation, the image's coordinates FLIPPED, like how images do in a mirror's reflection.
This means the answer would be A) (3,-8); Reflection.
Answer:
I need more info about the shape were making but I think C is the answer.
Step-by-step explanation:
I'll be honest Im confused. Im going to assume your finding the third side of triangle and if so here is my answer.
Side GH must be between 3.5 and 23.1 not inclusive because 13.3+9.8= 23.1 and that would be the length if the line is a straight line, and the minimum is 13.3-9.8= 3.5 and that is only if the lines overlap. That only leaves C as the answer within the range.
Answer:
The equation of the line is y = (-1/2)x + 5
Step-by-step explanation:

First of all, have to find gradient using the formula above :
(2,4) & (14,-2)
m = (-2-4) / (14-2)
= -6 / 12
= -1/2
Second, using y = mx + b as b is a constant and is a y-intercept. Using any of these 2 coordinates to find the value of b with given gradient :
y = mx + b
Let y=4 & x=2
4 = (-1/2)(2) + b
b = 4 + 1
= 5
Lastly, put the value of gradient and y-intercept into the equation :
y = mx + b
Let m=-1/2 & b=5
y = (-1/2)x + 5