Answer:
First blank= -1
Second blank= 14
Step-by-step explanation:
Plug in x to the equation. 1/7 x (-7)= -7/7=-1
2=1/7(x) to divide fractions you multiply by the reciprocal
2 x 7/1= 1/7× 7/1
14/1=14
<span>1. Make y the subject
a) 4y=12x+18
y = 3x + 4.5
b) 2x=7-3y
3y = -2x + 7
y = -2/3x + 7/3
2.
a) what is the equation of the line which passes through both (-2,-4) and (6,16)
slope = (16 + 4)/(6 +2) = 20/8 = 2.5
y = mx + b
-4 =2.5(-2) +b
-4 = -5 +b
b = 1
equation
y = 2.5x + 1
b) what is the equation of the line perpendicular to y= 1/2X + 7 passing through point (3,9)
</span>y= 1/2X + 7
slope = 1/2
slope of line perpendicular = -2
passing through point (3,9)
y = mx + b
9 = -2 (3) + b
b = 15
equation
y = -2x + 15
Answer:
Slope is -93/97
Step-by-step explanation:
To find slope subtract the y's and put that answer in top of a fraction. Then subtract the x's and put that on the bottom of the fraction. If its a smaller number on top and bigger number on the bottom, that is a proper fraction. If the bigger number is on top then it is an improper fraction. If it divides evenly, then the answer will just be a whole number (what the questions calls an integer) All these answers can be positive or negative.
***BUT, you have to start the subtractions with the same point!!!
Let's start with (-2, 95) in front, for both subtractions. (But it could be either point, the answer comes out the same)
Subtract y's: 95-2 is 93.
Subtract x's: -2 - 95 is -97
The slope is 93/-97 it is a proper fraction.
We can put the negative sign in front instead of at the bottom, it looks better.(and is the same)
Slope is -93/97
1.5(x+4)-3=4.5(x-2)
1.5x+6-3= 4.5x - 9
1.5 x+3=4.5x-9
3+9=4.5x-1.5x
12=3x
x=4
Answer: 21 273 divided by 13 =21
Step-by-step explanation:
