I need more algebra help. Thanks!?

Question

Identify the slope and coordinates of the x- and y-intercepts of each line below:
>> 3x + 2y = 5
>> -2x + 5y = 10
>> x - 4y = 9

I don't get how says find the slope and intercepts when there are two variables?

Thanks KlassenT so far so good..

Answer 1

you'll want to use slope-intercept form: y = mx + b

where y and x are variables, m is your coefficient of slope, and b is your y-intercept.

Example: 3x + 2y = 5.

Solve for y:
2y = -3x + 5
y = -3/2x + 5/2

Slope is -3/2 and the y-intercept is 5/2.

Just follow that procedure and you should be fine.

Answer 2

first put the equations into y- form
then you have y= -3/2x +5/2, y=2/5x +2, and y=1/4x -9/4

the slope is the coeeficent of x ( the number thet your multilpying with x, -3/2, 2/5, 1/4 )

the y- intercept would be the the number your adding or subtracting ( 5/2, 2, -9/4 )

to find the x-intercept subsitute 0 for y and the answer will be the x intercept

hope this helped!

Answer 3

You can do this a ton of different ways. Since your examples are in the form Ax + By = C, the quickest way to find the slope is with the formula m = -A/B (negative A over B).

No matter what form your equation is in, you can always find the x-and y-intercepts by plugging in zero for the other variable. For the x-intercept, plug in 0 for y, and for the y-intercept, plug in 0 for x. Solve for the other variable. Technically your answer is a point (#,0) for the x-intercept or (0,#) for the y-intercept.