Question

which is the equation of the line?

A. -8x - 6y= -48
B. -8x - 6y= 48
C. -6x - 8y= -48
D. -6x - 8y= 48

Answer 1

when a line touches x axis, that point's y coordinate becomes zero.
and x coordinate is the point where it toches x-axis.

Answer 2

in the figure you've shown line is touching x -axis at -8 and we know it's y coordinate is 0, so point is (-8,0)

Answer 3

Similarly, when a line touches y-axis, it s x coordinate becomes zero and y coordinate is where it touches y -axis,
from the graph it's (0, -6)

Answer 4

you could either substitute this points in the given equation and see if those lines satisfy the points or you could use two point formula to find the equation. :)

Answer 5

Would it be D?

Answer 6

Thank you.