Writing equations of lines

Linear Equation

Write the equation of the line with a slope of -1/3 and passing through the
point (6, -4).

Begin with the slope-intercept form or the point-slope form of the equation.

Comments for Writing equations of lines

 Apr 06, 2013 Linear Equation by: Staff AnswerPart ISlope Intercept Form of a Linear Equation m = slopeb = y-interceptsince the slope is -1/3, then m = -1/3this line will pass through the following point: (6, -4)at that pointx = 6y = -4The slope-intercept form of a linear equation has four unknown variables: y, m, x, and b.However, when a graph of the linear equation passes through the point (6, -4), three of these values are known: x (= 6), y (= -4), and m (= -1/3).The known values for x (= 6), y (= -4), and m (= -1/3) can be substituted for the variables x, y, and m in the linear equation.When this is done, the equation has only one unknown variable: "b", the y-intercept. ---------------------------------------------------------------------

 Apr 06, 2013 Linear Equation by: Staff ---------------------------------------------------------------------Part IISolve for "b", the y-interceptMultiply (-1/3)*6 on the right side of the equation add 2 to each side of the equation since the values of both "m" and "b" are now known, these values can be substituted for those variables in the standard slope-intercept form of the linear equation: ---------------------------------------------------------------------

 Apr 06, 2013 Linear Equation by: Staff ---------------------------------------------------------------------Part IIIFinal Answer: ----------------------------------------------------------------------------------------------------------check the answer since the straight line passes through the point (6, -4), when x = 6 the equation should compute -4 for y A graph of the equation is shown below: Thanks for writing.Staff www.solving-math-problems.com