Solve for y, if possible. Identify the slope and y-intercept. #1, y is less than or equal to 1/3x -1 , #2 y >4x-5, #3, 7<3x -y

Question

They're 3 questions and I want to find the Slope and Y-intercept and if possible the Y.

Answer 1

#1, y≤ 1/3x -1  The solution to this inequality is all of the area on or beneath the line that has y intercept -1 and slope 1/3.

Incidentally, the x-intercept of this boundary line is x = 3

 

#2 y >4x-5,  this solution is all loints ABOVE the DASHED line having y intercept-5 and slope four.

 

#3, 7<3x -y  Let's Solve for y (putting into Slope Intercept form):   y < 3x - 7.  Both the y intercept and the slope are now obvious; the graph of this solution set is all points BENEATH a DASHED line.

 

Remember this: when you solve for y, the < symbol after y means shade beneath the boundary line; the > symbol means shade above the boundary line. The boundary line is solid only if equality is also included, e.g. ≤ or ≥ applies.