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# How to use point-slope form when you are given two sets of points? (answer)

The point slope form is written like this: y-y1=m(x-x1) where m is the slope, and (x1,y1) can be either one of the two points you are given.  First, we need to find the slope m from the given points. The slope m=rise/run=(y2-y1)/(x2-x1). Let (2,3)=(x1,y1) and (5,1)=(x2,y2).  Then the slope...

# solving equations with variables 1/3x + 2/3 = 5/3x (answer)

It is important to use parentheses when multiplying/dividing by fractions.  Do you want to solve: (1/3)x+2/3=(5/3)x or 1/(3x)+2/3=5/(3x) The answer will be different depending on where the parentheses are placed.  In the first equation, the fractions are being multiplied by x, and...

# How to write an equation for the line in point-slope form and then re-write in slope-intercept form. (answer)

The first thing we want to do is to find the slope between these two points.  The equation for the slope, m, is: m=rise/run=(y2-y1)/(x2-x1). Let the first point (-1,0)=(x1,y1) and the second point (1,2)=(x2,y2), then m=(2-0)/(1-(-1))=2/2=1, so the slope between these two points is 1...

The first thing you probably noticed is those pesky x's in the denominator.  To get rid of those, we will want to multiply the entire equation by x: x(1/(4x)+x)=x(-3+1/(2x))    And distribute the x's through 1/4+x2=-3x+1/2   Now move all of the terms over to the left side of the equation x2+3x-1/4=0...

# 2x * -1= x + 2 34 (answer)

The problem I believe you are trying to solve is: (2x-1)/3=(x+2)/4 The first step we want to take is to cross multiply.  When we do that, the result is: 4(2x-1)=3(x+2) Now we distribute the 4 and 3 through the parentheses: 8x-4=3x+6 Next we solve the equation for x by isolating...