Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
Mid-Chapter Quiz
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Exercise 21 Page 321

Start by using the Slope Formula to find the slope.

y=- x+2

Practice makes perfect
An equation in slope-intercept form follows a specific format. y= mx+b For an equation in this form, m is the slope and b is the y-intercept. Let's use the given points to calculate m. We will start by substituting the points into the Slope Formula.
m=y_2-y_1/x_2-x_1
m=-6-( -2)/8- 4
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Simplify right-hand side
m=-6+2/8-4
m=-4/4
m= -1
A slope of -1 means that for every 1 horizontal step in the positive direction, we take 1 vertical step in the negative direction. Now that we know the slope, we can write a partial version of the equation. y= -1 x+b To complete the equation, we also need to determine the y-intercept, b. Since we know that the given points will satisfy the equation, we can substitute one of them into the equation and solve for b. Let's use ( 4, -2).
y=-1x+b
-2=-1( 4)+b
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Solve for b
-2=-4+b
2=b
b=2
A y-intercept of 2 means that the line crosses the y-axis at the point (0,2). We can now complete the equation. y= -1x+2 ⇔ y=- x+2