(3,-1); m =-4/3 in point slope & slope intercept

Step 1. The slope-intercept form is given as y=mx+b where m is the slope and b is the y-intercept when x=0 or at point (0,b).  

Step 2. Now we have to find the line with slope m=-1 going through point (3,-1).  

Step 3. Given two points (x1,y1) and (x2,y2), then the slope m is given as  

Step 4. Let (x1,y1)=(3,-1) or x1=3 and y1=-1. Let other point be (x2,y2)=(x,y) or x2=x and y2=y.  

Step 5. Now we're given . Substituting above values and variables in the slope equation m yields the following steps:  

Step 6. Multiply x-3 to both sides to get rid of denominator on right side of equation.  

Step 7. Add -1 to both sides of the equation  

Step 7. ANSWER: The equation in slope-intercept form is  where the slope m=-1 and the y-intercept b=2.  

Note: the above equation can be rewritten in standard form as  

And the graph is shown below which is consistent with the above steps.  

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc

Equation  describes a sloping line. For any  

equation ax+by+c = 0, slope is .

X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 2/1 = 2.

Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 2/1 = 2.

Slope is -1/1 = -1.

Equation in slope-intercept form: y=-1*x+2.

Step-by-step explanation:

answer:   n ≤ -3 or n < -5

step-by-step explanation:

-5 + 2n ≥ -11

+5             +5

2n ≥ -6

2/2 ≤ -6/2

n ≤ -3

-6 - 10n > 44

+6           +6

-10n > 50

-10/-10 50/-10

n < -5

step-by-step explanation:

20% of 120 is 24. if you subtract 24 from 120 you get 96