Answer:
m= -3/2
Step-by-step explanation:
First, we must find the slope of the line given. We are given the equation:
y-2/3x=2
We must get this equation in slope-intercept form: y=mx+b (where m is the slope and b is the y-intercept). In order to do this, we must get y isolated.
2/3x is being subtracted from y. We want to preform the inverse, so we should add 2/3x to both sides.
y-2/3x+2/3x=2+2/3x
y=2+2/3x
Rearrange the terms.
y= 2/3x+2
Now the equation is in slope intercept form. (y=mx+b). 2/3 and x are being multiplied, so we know that the slope is 2/3.
Now, we have to find the perpendicular slope. Perpendicular lines have negative reciprocal slopes.
1. Negative
m=2/3
Negate the slope.
m= -2/3
2. Reciprocal
m= -2/3
Flip the numerator (top number) and denominator (bottom number).
m= -3/2
The perpendicular slope is -3/2
Answer:
7
Step-by-step explanation:
671/2 33 of 32 is right
Common difference = -16-(-20) = 4
nth term = -20+(n-1)4
Answer:
-40 °F = -40 °C
Step-by-step explanation:
(1) F = 1.8 C + 32
If the Fahrenheit and Celsius temperatures are the same, then
(2) F = C Substitute (2) into (1)
C = 1.8C + 32 Subtract 1.8 C from each side
C – 1.8 C = 32 Combine like terms
-0.8C = 32 Divide each side by -0.8
C = -32/0.8
(3) C = -40 Substitute (3) into (1)
F = 1.8(-40) + 32
F = -72 + 32
F = -40
So, -40 °F = -40 °C
The thermometer below shows that -40 °F = -40 °C.
A) (1, 1)
A scale factor of 1/3 means you shrink it.
