Answer:
[tex]y=-\frac{6}{7} x+6.[/tex]
Step-by-step explanation:
1) if the point on the X- and Y-axis are A(7;0) and B(0;6), then it is possible to make up the equation of the line according to the rule:
[tex]\frac{x}{X_A} +\frac{y}{Y_B} =1; \ => \ \frac{x}{7} +\frac{y}{6} =1.[/tex]
2) the slope-interception form of this line is:
[tex]y=-\frac{6}{7} x+6.[/tex]
