Solve the following problem A (-5-(-2)=
2 answers:
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ANSWER: y= 3x - 6
STEP-BY-STEP EXPLANATION:
(1,-3) and (3,3)
X1=1 X2=3
Y1= - 3 Y2=3
1) Find the slope of the line.
To find the slope of the line passing through these two points we need to use the slope formula:
m =
m= m=
= 3
2)Use the slope to find the y-intercept.
Now that we know the slope of the line is 3 we can plug the slope into the equation and we get:
y= 3x+b
Next choose one of the two point to plug in for the values of x and y. It does not matter which one of the two points you choose because you should get the same answer in either case. I generally just choose the first point listed so I don’t have to worry about which one I should choose.
y= 3x+b point (1,-3)
-3= 3(1) + b
-3-3=b
-6=b
3)Write the answer.
Using the slope of 3 and the y-intercept of -6 the answer is:
y = 3x - 6
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Solve the Inequality.
x<-4
First, add 6x on both sides:
-2x+3+6x<-13
Add the x's:
4x+3<-13
Now, subtract 3 on both sides:
4x<-13-3
4x<-16
Divide by 4 on both sides:
x<-4
So the values of x that are less than -4 will make the given inequality true.
<h3>Good luck.</h3>
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