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Start by using the Slope Formula to find the slope of the line.
y=-2/5x+29/5
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 ( 2,5) & ( 12,1)
Subtract terms
a/b=.a /2./.b /2.
Put minus sign in front of fraction
A slope of - 25 means that for every 2 horizontal steps in the positive direction, we take 5 vertical steps in the negative direction. Now that we know the slope, we can write a partial version of the equation. y= -2/5 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 ( 2, 5).
x= 2, y= 5
Multiply
LHS+4/5=RHS+4/5
a = 5* a/5
Commutative Property of Addition
Add fractions
Rearrange equation
A y-intercept of 295 means that the line crosses the y axis at the point (0,295). We can now complete the equation. y= -2/5x+295