Graph using the slope and y intercept y = (1/4)*x - 3.

Expert Answers
justaguide eNotes educator| Certified Educator

The equation given: y = (1/4)*x - 3 is the equation of a straight line in the form y = mx + c, where m is the slope of the line and c is the y-intercept.

y = (1/4)*x - 3

=> slope = 1/4 and y-intercept = -3

To plot the graph of the equation you could convert it into the form x/a + y/b = 1, where a and b are the x and y-intercepts.

y = (1/4)*x - 3

=> 4y = x - 12

=> x - 4y = 12

=> x/12 - y/3 = 1

The x-intercept is 12, so the line passes through (12 , 0) and the y-intercept is -3, so the line passes though (0, -3). Draw a line between these points and you have the same graph as that given by the original equation.

To avoid having to draw the graph using the slope you can convert the equation to the intercept-intercept form.