Answer:
[tex]y=- \frac{5}{4}x-4[/tex]
Step-by-step explanation:
1) if the A has coordinates (-4;1) and B - (-8;6), then it is possible to write the formula of the required line:
[tex]\frac{X-X_A}{X_A-X_B} =\frac{Y-Y_A}{Y_B-Y_A};[/tex]
2) if to substitute the coordinates given in the condition, then:
[tex]\frac{X+4}{-8+4} =\frac{Y-1}{6-1};[/tex]
3) finally, the required equation of the line is:
-4y=5x+16; ⇔y= -5/4 x-4 (slope-intersection form)
PS. note, the suggested solution is not the only one.
