What is the slope of this?

Question

4y - 5 = 6x
and
2(1-y) = x

thanks for your help :)

Answer 1

Question 1
4y = 6x + 5
y = (6/5)x + 5/4
m = 6/5

Question 2
2 - 2y = x
2y = - x + 2
y = (-1/2)x + 1
m = - 1/2

Answer 2

Put it into

y = mx + b format
"m" is the slope and "b" is the y-intercept

4y = 6x + 5 Now get "y" by itself by dividing
y = 3/2x + 5/4 Slope = 3/2

2(1-y) = x Distribute
2 - 2y = x Now subtract 2 on both sides
-2y = x - 2 Now divide by -2 on both sides
y = x/-2 + 2 Slope should be -1/2

Answer 3

Equation of straight line :-

y=mx+c

m is the slope and c is y-intercept .

1)4y-5=6x
4y=6x+5
y=6/4x + 5/4

m = 6/4=3/2

2) 2(1-y)=x
2-2y=x
2y=-x+2
y=-1/2x+1
m=-1/2

Answer 4

First one,
4y=6x+5
y=(6/4)x+(5/4).
So, slope = 6/4 = 3/2.

Second one,
1-y=(x/2)
-(x/2)+1=y.
So, slope = -1/2.

Answer 5

write your equations in the form

y = mx +b ; m is your slope.

4y - 5 = 6x ----> 4y = 6x +5
y = (6/4) x + (5/4) ----> slope = 6/4

2(1-y) = x ---> 1-y = (1/2) x
-y = (1/2) x -1
y = -(1/2) x +1 -----> slope = -1/2

Answer 6

y=mx+c ; m=slope

simply set the equation to y.
1. y=6x/4+5/4 ; m=6/4 or 3/2

2. y=-1/2x+1 ; m=-1/2

Answer 7

y = mx + c where m is the slope

4y - 5 = 6x
4y = 6x + 5
y = (6x +5)/4
y = 6x/4 + 5/4
m = 6/4 or 3/2

2(1-y) = x
2 - 2y = x
-2y = x - 2
y = (x-2)/-2
y = -x/2 + 1
m = -1/2
~~~

Answer 8

1)4y-5=6x
4y=6x+5
y=(3/2)x+5/4.
its slope=3/2.
2)2(1-y)=x
2-2y=x
-2y=x-2
y=(-1/2)x+1
its slope=-1/2.

Answer 9

First one: 6/4 = 3/2

Second One: 1/2

Simple approach: divide the number in front of x by the number in front of y.