Help:
Which equation represents this line in point-slope form?

(y−6)=−7/9(x+4)

(y−3)=7/9(x−6)

(y−3)=−9/7(x−3)

(y−3)=9/7(x−3)

Question

Help:
Which equation represents this line in point-slope form?

(y−6)=−7/9(x+4)

(y−3)=7/9(x−6)

(y−3)=−9/7(x−3)

(y−3)=9/7(x−3)

anonymous · Answer

http://cdn.ple.platoweb.com/PCAP-ASSETS-PROD/ca4fcf57c1834aa2ababc4f5999d3e7e

anonymous · Answer

which one do you think?

anonymous · Answer

b?

anonymous · Answer

look, to find the correct point slope form of this this line, first find the slope, of the line. 
to find the slope, use the slope formula
$$m=\frac{ y_2-y_2 }{ x_2-x_1 }$$

the slope of your line will be 9/7. So already there is only d is correct. But if you want to know how to continue the finding of point slope form of this line, here it is:
 (could you just wait a minute, please? it will take some time to me to write the explanation)

anonymous · Answer

the point slope form of the line is
$$y-y_1=m(x-x_1)$$
or $$y-y_2=m(x-x_2)$$

anonymous · Answer

since the line goes through points (3, 3) and (-4, -6), the point slope form of the line will be  the following:
$$y-3=9/7(x-3)$$
AND
$$y-(-6)=9/7(x-(-4))$$
$$y+6=9/7(x+4)$$

Note that both equation are correct, but in this problem you have only one equation. which is the last one. (in your choices)

anonymous · Answer

oh ok I got everything you said thank you so much!! @ksanka

anonymous · Answer

np :)