Slope-intercept form y = mx + b
where m------> slope
b-------> y-intercept
m= (y1-y2)/(x1-x2)
P1(-3,5) (x1,y1)
P2(2,10) (x2,y2)
m= (5-10)/(-3-2)
m= (-5)/(-5)
m=1
Until now, the equation is y=mx+b
y=1.x+b
y=x+b
But, whe can plug the point P2(2,10) in y =x+b
10 =2 + b
10 - 2 = b
b= 8
Then, the equation is y=mx+b
y= x+8 <-------------------Solution
Verification P1(-3,5) y = x+8 5=-3+8 Ok
P2(2,10) y = x +8 10 = 2+8 Ok
Answer:
Option A
Step-by-step explanation:
Let us first consider the equation at hand. We are given that this equation is as follows, five less than three times a number equals four more than eight times the numbers. Convert this into a numerical format;
where x = " the number "
If you wish, take a look at this verbal explanation. To solve the equation 3x - 5 = 4 + 8x, one would first subtract 3x on either side of the equation, resulting in the simplified equation - 5 = 4 + 5x. Subtracting - 4 from either side, - 5 - 4 = - 9, and so we receive - 9 = 5x. Dividing 5 on either side, x = - 9 / 5, <em>Option A</em>.
Answer:
101°
Step-by-step explanation:
The interior angles indicated add up to the exterior angle <KMN because they are on the opposite side of it. You can substitute these into an equation to find x.
4x + 81 = 13x + 36
Group like terms
4x - 13x = 36 - 81
-9x = -45
Divide both sides of the equation by -9 so x can stand alone
x = 5
Now to find <KMN, we just have to substitute 5 into the expression
= 13(5) + 36
= 65 + 36
= 101°
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