x + 6y = 12
You want the y-value to be on one side of the equation, so you have to subtract the x-value from both sides.
6y = -x + 12
Next, you divide both sides by 6, so that the y-value will be by itself.
y = - 
+ 2
We know that the slope or the 'm' value is located before the x-value based on y = mx +b, therefore the slope is -
Consecutive integers can be represented as x, x+1, x+2 and so on.
x+x+1+x+2+x+3+x+4=-65
5x+10=-65
5x=-75
x=-15
Final answer: -15, -14, -13, -12, -11
Answer:
B and E are true statements
Hey there!!
In order to find the slope, let's convert this equation which is in a standard form to a slope-intercept form.
Slope intercept form:
<em>y = mx + b </em>
We have two things to remember:
- 'm' in the equation stands for slope.
- 'b' in the equation resembles y-intercept.
Given:
4x - 5y = -5
The main idea:
- We will have to isolate 'y'
First, let's subtract 4x on both sides:
4x - 5y - 4x = -4x -5
-5y = - 4x - 5
Now let's divide both the sides with -5
-5y/-5 = (-4x/-5) + (-5/-5)
y = (4/5)x + 1
Now, we got the slope intercept form and the coefficient of 'x' would be the slope.
<u><em>Hence, the slope of the line is '4/5' </em></u>
Hope it helps!
