SOLUTION: Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions. The graph of f is perpendicular to the line whose equation is 3x -

Algebra ->  Linear-equations -> SOLUTION: Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions. The graph of f is perpendicular to the line whose equation is 3x -       Log On


   



Question 977466: Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions.
The graph of f is perpendicular to the line whose equation is 3x - 2y - 4 = 0 and has the same y-intercept as this line.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Step 1: Put the given equation into slope-intercept form and then determine the slope of the given equation by inspection of the coefficient on . Recall that perpendicular lines have negative reciprocal slopes. Calculate the negative reciprocal of the slope you determined for the given equation.

Step 2: Determine the -coordinate of the slope of the line represented by the given equation by inspection of the slope-intercept form of the given equation derived in step 1. Form the ordered pair representing the -intercept of the line represented by the given equation.

Use the Point-Slope form of the equation for a straight line, the slope calculated from step 1, and the point derived in step 2, write an equation for the desired line.

John

My calculator said it, I believe it, that settles it