Question

How do you graph `y>= -4x+3`?

Answer 1

see explanation.

Explanation:

Begin by drawing the line with equation `y=-4x+3`

Using `color(blue)"slope and y-intercept"`

`y=-4x+3" is in" color(blue)"slope-intercept form"`

`color(orange)"Reminder: " y=mx+b`

where m represents the slope and b, the y-intercept.

`y=-4x+3" has "m=-4" and y-intercept "=+3`

Plot the point (0 ,3) and from this point move 4 down and 1 right, mark the point. (1 ,-1) Repeat to obtain (2 ,-5)

Drawing a straight line through these 3 points gives the graph
`y=-4x+3`

`"Since " y>=-4x+3` then the region above this line , including the line is required.
graph{y>= -4x+3 [-10, 10, -5, 5]}