how would you find the slope of the line?

Question

for: 3x-2y= -6
and
3x-5y=4

Answer 1

the slope is the gradient

the gradient is the number or coefficient of x


3x - 2y = -6

2y = 3x + 6

y = 3/2x + 3

therefore the slope is 3/2


3x - 5y = 4

5y = 3x - 4

y = 3/5x - 4/5

therefore the slope is 3/5


hope that helps =)

Answer 2

I'll show you how to do the first, but also show the steps. You can apply this to any line (except vertical or horizontal).

Take your equation

3x-2y=6 and rearrange it to solve for y:

Step 1: Subtract 3x from both sides of the equation. It becomes:

-2y = -3x+6

Step 2: Divide through by -2:
y = (3/2)x + (-6/2)

Your equation is now in slope intercept form. y = mx + b

In this case, m = 3/2 = the slope of the line
b = y-intercept (the value of y when x = 0) = -3

As for vertical and horizontal lines:
For vertical lines, the slope is mathmematically undefined. For horizontal lines, the slope is mathematically = 0.

Answer 3

What's up with all the parentheses? Anyway, I'll handle them in the order you asked: - For the slope intercept, solve for y; in this case, you subtract 4 from both sides and divide by 2, getting (x-4)/2 = y. Since slope-intercept is usually represented as y = m*x+b, you're better off changing that into the more familiar y = (1/2)*x-2. - Now that you have it in slope-intercept form, the slope is simply m, which in your case is (1/2). - The x-intercept is the place where the line crosses the x-axis; to find this position, set y = 0 and solve the equation for x. In this case, you get 0 = (1/2)*x-2, which becomes 2=(1/2)*x; divide both sides by (1/2) to get x = 4. - As with the x-intercept, to find the y-intercept we must set x = 0 in order to find out where the line crosses the y-axis. This one's easier, as we plug in 0 for x ans get y = (1/2)*0 - 2, leaving us simply with y = -2. I hope you go back and try to figure out why you get these answers geometrically, because you definitely won't forget them if you can see them as pictures in your head rather than equations on a page.

Answer 4

1.) 2y = 3x + 6

y = (3/2) x + 3 slope is 3/2

2.) 5y = 3x - 4

y = (3/5)x - 4 slope is 3/5

Answer 5

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RE:
how would you find the slope of the line?
for: 3x-2y= -6
and
3x-5y=4

Answer 6

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Slope Intercept form is y=mx+b m = slope b = y intercept For the equation you gave, you can rearrange it to the slope intercept form: x = 2y + 4 2y = x - 4 y = 0.5x - 2 slope = m = 0.5 y intercept = b = -2 x intercept is when y = 0 0 = 0.5x - 2 0.5x = 2 x = 4

Answer 7

ignore first guys post. slope is

3x-2y=-6 2y=3x+6 y=3/2x+3 slope=3/2

3x-5y=4 5y=3x-4 y=3/5x -4/5 slope=3/5

Answer 8

1. 3x-2y=-6, its slope=3/2
2. 3x-5y=4, its slope=3/5.

Answer 9

compare to y=mx+c

where m is the slope (or gradient)
and C is the intercept og the Y axis when X=0

By inspection
1st one 1.5
2nd one 0.6

check I did the signs right (in my head)
y=1.5x+3
y=0.6x-4

Answer 10

The slope is the gradient (x) so the slope is 3 for both.