Find the slope and y-intercept of y=-3/5x-2?

Question

Find the slope and y-intercept of y=-3/5x-2?
Find the slope and y-intercept of y=-3/5x-2
This is negative three fifths minus two

I can't understand the concept of finding the slope and the y intercept, can someone explain it to me? I would greatly greatly appreciate it. This is my weakest part in math, and I'm lost and our reading doesn't do mush for us.

Answer 1

Start out by moving the 2.

2= y-3/5 x
You have to add it to get rid of it because it's negative, you'd subtract if it was positive.

Then divide the other side by -3/5x
2 divided by -3/5x= y

I can't figure it right now without a calculator but that's it.
Slope goes with the x, the stand alone number is the y-intercept, or where the line crosses the y-axis. The slope is rise over run. If the slope where 5/3, you would go up five on the y-axis, over 3 on the x. If it's just a single number, 2, then go up to over 1.

Answer 2

The slope tells you how fast the line is rising or falling. This line has a slope of-3/5 which means that for every 5 units that you move to the right, the line falls 3 units.
The y-intercept is the place that the graph crosses the y-axis. The value of this function when x=0 is -2, so the line crosses the y-axis at y=-2.
Putting the two ideas together, you can easily graph the line.
Put a point at -2 on the y-axis, now count 5 units to the right and 3 units down. If you did this correctly you should be at the point (5,-5). Draw a line through the two points.

Answer 3

ok, y=-3/5x-2 is the equation
another way to write this equation is with letters.
y=mx+b
y and x remain the same, but m and b are replaced with numbers.
m is the SLOPE and b is the Y-intercept.
to make it simple, when you replace m and b, the numbers that are replacing them are the slope and the yintercept.
so in this case,
y=mx+b
m=-3/5 and b=-2
and to replace them in the equation
it would simply be y=-3/5x+-2

also, to figure out the slope of a line, the equation is rise over run or rise/run
in this equation, -3 would be your rise (or decline because it's negative) and 5 would be your run.

if you remember Y=mx+b, then it'll make it SO much easier for you.

i hope that helped!

Answer 4

Slope = -3/5
Intercept = -2

Logic
---------
If you plot the graph of this straight line, the slope is the 'gradient' or 'how steep' the line is. It is always the number in front of the 'x'. So the slope is -3/5

The Intercept is the value of Y when X=0. So if set x to zero
Y = -3/5x-2
Y = -3/5*0-2
Y = -2

Answer 5

This equation is in a common form where: y = mx+b

Your 'm' in the equation equals -3/5 and your 'b' equals -2

the y intercept is equal to 'b'
and the slope is 'm'

slope = m = -3/5
y-intercept = b= -2

Answer 6

y= -3/5x -2
y = mx + b where m is slope and b is the y-intercept.
m= -3/5 and b = -2

Answer 7

y = mx + c is the equation of a line of slope m that cuts y axis at (0 ,c)
ie y = c when x = 0
In this case:-
y = (- 3 / 5) x - 2
Slope = - 3 / 5
Cuts y axis at (0 , - 2)

Answer 8

slope is -3/5
y-intercept is -2 the variable with the x on it is the slope...

Answer 9

y=mx + b
m = your slope
b= intercept

so 3/5 in slope
and -2 is the intercept

Answer 10

slope = -3/5

it is the coefficient or number in front of x

y intercept is -2