Choose the system of equations which matches the following graph.

Question

anonymous · Answer

attachment

anonymous · Answer

a.  3x + 4y = 24
3x + y = –3 

b. 3x + 4y = 24
3x – y = 3 

c.  3x – 4y = –24
3x + y = –3  

d. 3x – 4y = –24
3x – y = 3

anonymous · Answer

tell me your toughts first

anonymous · Answer

i have absolutely no idea how to even start this.

anonymous · Answer

this is all about line equations. Do you know what is line equation in y-intercept slope form?

anonymous · Answer

The slope of the line passing through (4,9) is 9/3 or 3.  The y intercept is -3.$$y=3 x-3 $$$$3x-y=3 $$The other line passes through the points (4,9) and (0,6). Equate the slope calculations for each point and solve for y.$$\frac{y-9}{x-4}=\frac{y-6}{x-0} $$$$y=\frac{3}{4}x+6 $$$$3x-4y=-24 $$The answer is d.

anonymous · Answer

thank you.

anonymous · Answer

Thank you for the medal.