Find the equation of the first line using the two given points: (1,-1) (-1,-5)
Slope = change in Y over change in x:
Slope = (-5-(-1)) / (-1-(1) = -4/-2 = 2
Now find y intercept: y - y1 = m(x-x1) = y -(-1) = 2(x-1)
Simplify to get y = 2x-3
Now a perpendicular line has a opposite reciprocal slope.
The perpendicular line would be y = -1/2x - 3
You are told the y intercept is -4 units greater, so add -4 to -3 to get -7
The answer would be A. y = -1/2x-7
y=(1/3)x-2
Step-by-step explanation:
the slope-intercept form is y-y1=m(x-x1)
hence, y-0=1/3(x-6) or y=(1/3)x-2
The triangle defined by three points on the coordinate plane is congruent with the triangle illustrated:
C) (4,2); (8,2); (4,8) because the corresponding pairs of sides and corresponding pairs of angles are congruent.
If we plot these points we can observe that they are congruent, we should also solve for the distance of each point between each other to conclude their congruency.
Distance=amount of gas times miles per gallon
distance=y
amount of gas=x
mpg=?
given
y=300
x=10
300=10 times ?
divide both sidesj by 10
30=?
equation is
y=x times 30 or
y=30x
