What is the graph of y= -3/4x-1

Question

What is the graph of −4x + 7y = −28? Both of those questions i need help with

Answer 1

y = -3x/4 - 1 = (-3/4)x- 1

 

When x = 0, y = -1.  We have one point.  We need another to draw the line for the equation.

 

If y = 0, then 0 = -3x/4 -1

 

1 = -3x/4

 

x = -4/3

 

So the line can be drawn that goes through (0,-1) and (-4/3,0).

 

 

 

For -4x + 7y = -28, when x = 0, y = -4.

 

When y = 0, x = 7.  The points to draw the line are (0, -4) and (7, 0).

 

 

 

Notice that I have used 0 for simplicity and have found both the x- and y-intercepts for the line.