Answer: x=-1 and y= -3
Step-by-step explanation:
Solve for x, x+y=-4
Minus y from both sides so it'll be X=-y-4
Now substitute -y-4 in x-y=2 and solve for y
-y - 4 -y=2
Add like terms, -2y - 4=2
Add 4 to both sides -2y=6
Divide both sides by -2 
y= -3
Substitute -3 in x=-y - 4
x=-(-3) - 4
- × (-3)= 3
3 - 4= -1
x= -1
Point-slope form is written as : y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point.
The slope (m) is found by the change in Y over the change in X
Slope = (y2 - y1) / (x2 - x1)
You can use either given point for x1 and y1 so you would calculate the slope and replace m with the slope, then replace x1 and y1 in the equation with their value.
No because for it to be anywhere near proportional it would have to be 3x
Hey there!!
Parallel lines have the same slope. If they have different slope, then they are not parallel because both lines would combine at some point.
The y-intercept form:
<em>y = mx + b </em>
<u>In this equation, 'm' is considered to be the slope. </u>
The equation we have is 6y = -2x + 4
First, let's divide all the sides with 6 to isolate the value of 'y'.
... 6y = -2x + 4
... y = -1/3x + 2/3
<u><em>The slope is -1/3... </em></u>
<u><em>... hence the slope in the other equation should be -1/3. </em></u>
Equation we got...
... 2y = ax - 5
Let's divide by 2 on both sides...
... y = ax/2 - 5
The slope in this a/2
<u><em>Hence, ... </em></u>
<u><em>... a/2 = -1/3 </em></u>
<u><em>... 3a = -2 </em></u>
<u><em>... a = -2/3 </em></u>
<h2><u><em>
Hence, the value of a is -2/3. </em></u></h2><h3><u><em>
Hope my answer helps!</em></u></h3>
