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Start by using the Slope Formula to find the slope.
y=-1/2x+7/2
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.
Substitute ( -3,5) & ( 3,2)
a-(- b)=a+b
Add and subtract terms
Put minus sign in front of fraction
a/b=.a /3./.b /3.
A slope of - 12 means that for every 2 horizontal steps 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= -1/2 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 to solve for b. Let's use ( 3, 2).
x= 3, y= 2
a/c* b = a* b/c
LHS+3/2=RHS+3/2
a = 2* a/2
Add fractions
Rearrange equation
A y-intercept of 72 means that the line crosses the y-axis at the point (0,72). We can now complete the equation. y= -1/2x+7/2