# SOLUTION: Find an equation of the line containing the given pair of points. (4,1) and (12,3) y= Thank you

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 Question 389093: Find an equation of the line containing the given pair of points. (4,1) and (12,3) y= Thank youAnswer by haileytucki(390)   (Show Source): You can put this solution on YOUR website!(4,1),(12,3) Use y=mx+b to calculate the equation of the line, where m represents the slope and b represents the y-intercept. To calculate the equation of the line, use the y=mx+b format. Slope is equal to the change in y over the change in x, or 'rise over run'. m=(change in y)/(change in x) The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise). m=(y2-y1)/(x2-x1) Substitute in the values of x and y into the equation to find the slope. m=(3-(1))/(12-(4)) Multiply -1 by each term inside the parentheses. m=(3-(1))/(12-4) Subtract 4 from 12 to get 8. m=(3-(1))/(8) Multiply -1 by each term inside the parentheses. m=(3-1)/(8) Subtract 1 from 3 to get 2. m=(2)/(8) Reduce the expression (2)/(8) by removing a factor of 2 from the numerator and denominator. m=(1)/(4) Find the value of b using the formula for the equation of a line. y=mx+b Substitute the value of m into the equation. y=((1)/(4))*x+b Substitute the value of x into the equation. y=((1)/(4))*(4)+b Substitute the value of y into the equation. (1)=((1)/(4))*(4)+b Since b is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation. ((1)/(4))*(4)+b=(1) Multiply ((1)/(4)) by (4) to get ((1)/(4))(4). ((1)/(4))(4)+b=(1) Remove the parentheses around the expression 1. ((1)/(4))(4)+b=1 Multiply (1)/(4) by 4 to get 1. (1)+b=1 Reorder the polynomial 1+b alphabetically from left to right, starting with the highest order term. b+1=1 Find the value of b. b=0 Now that the values of m(slope) and b(y-intercept) are known, substitute them into y=mx+b to find the equation of the line. y=(x)/(4)