What is the y-intercept of the line given by the equation y=9/2x - 4?

2 Answers
May 9, 2017

Answer:

#-4#

Explanation:

Given equation: #y=9/2x-4#
The given equation of the line is in slope-intercept form. The general slope-intercept form would be:
#y=mx+b# where #m# is the slope and #b# is the y-intercept of the line

Therefore, the slope of the given equation is #9/2# and the y-intercept is #-4#.

May 9, 2017

Answer:

(0,-4)

Explanation:

graph{9/2x-4 [-4.98, 5.02, -4.76, 0.24]}

Method 1

The graph of #y=9/2x-4# is shown above.

From the graph, it is shown that the coordinates of the y-intercept is #(0,-4)#. Although this is not needed, the coordinates of the x-intercept is #(8/9,0)#.

Method 2

From the above coordinates, you can see that at the y-intercept, the value of #x=0#. Conversely, at the x-intercept, the value of #y=0#.

Thus, when #x=0#,
#y=(9/4)*0-4#
#y=-4#
#:.# y-intercept is #(0,-4)#

Be careful of leaving your answer simply as #y=-4#.

The correct form of answering should be leaving it as (0,-4).