Answer:
y = 4x
Step-by-step explanation:
We need to look at where the line's dots are to find the slope. Between each dot the line goes 1 to the right and 4 up. Remember the saying rise over run to know that the slop is 4/1. 4/1 is just 4 so in the equation we put that next to x.
The next part of making an equation is the y-intercept, or where it crosses the y-axis. Since this hits the y-axis at 0 the complete equation will be
y = 4x + 0
but obviously we don't need to add 0 so the answer is
y = 4x
Answer:
Step-by-step explanation:
In order to find the value of y, first we need to find the length of the perpendicular dropped from one of the vertices of the triangle to its opposite side.
By geometric mean theorem:
Length of the perpendicular
Next, by Pythagoras theorem:
Answer:
1. X axis, 8, 3
2. Y axis, 4,-9
Step-by-step explanation:
The rule of reflections that the place opposite of the axis is negative so:
The rule for x-axis reflection is (x,-y)
The rule for y-axis is (-x,y)
For the first one, x has remained the same, so that means it’s a x-axis reflection.
So change -3 to 3
Same for the next one.
-9 is not changed so that means it’s a y-axis reflection.
And the point is 4,-9
Answer:
Midpoint of side EF would be (-.5,4.5)
Step-by-step explanation:
We know that the coordinates of a mid-point C(e,f) of a line segment AB with vertices A(a,b) and B(c,d) is given by:
e=a+c/2,f=b+d/2
Here we have to find the mid-point of side EF.
E(-2,3) i.e. (a,b)=(2,3)
and F(1,6) i.e. (c,d)=(1,6)
Hence, the coordinate of midpoint of EF is:
e=-2+1/2, f=3+6/2
e=-1/2, f=9/2
e=.5, f=4.5
SO, the mid-point would be (-0.5,4.5)
3 and 17
17-3=14
hope that helps
