I need to find a slope and y intercept of the line and write the fractional answers in lowest terms.
2y+8x+3=12+8x; I would like to try this one and get your input.
2y+8x-8x-12-3;
2y/2 = 9/2; y = 9/2 however I did not find the slope. I don't think there is one in this problem??
If the x term drops out and you have only
y = b , where b is a constant,
then the slope is zero
That is, you have a horizontal line.
Btw, If the y term drops out and you only have x = c left, then you have a vertical line and the slope would be undefined.
A-HA! I see now. Thank you.
To find the slope and y-intercept of the line, we need to rewrite the equation in the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.
Let's solve the given equation step by step:
2y + 8x + 3 = 12 + 8x
First, let's simplify the equation by combining like terms:
2y + 8x - 8x - 12 - 3
This simplifies to:
2y = -15
Now, let's isolate y by dividing both sides of the equation by 2:
(2y)/2 = (-15)/2
Cancel out the 2 on the left side:
y = -15/2
So, the y-coordinate of the y-intercept is -15/2.
However, there is no x-term in the equation (8x - 8x = 0), so there is no x-term in the slope-intercept form. In this case, we can say that the slope of the line is 0, since there is no change in the y-coordinate as x changes.
Therefore, the slope of the line is 0 and the y-intercept is -15/2.