Find the equation of the line through the point ( - 1, 5) and making an intercept of - 2 on the y - axis.

Given: The y - intercept = - 2.

The line passes through ( - 1,5).

Formula to be used: y = mx + c where m is the slope of the line and c is the y - intercept.

The equation of the line is y = mx + ( - 2) = mx - 2.

Now, this line passes through ( - 1,5).

5 = m( - 1) - 2 = - m - 2 i.e. m = - (5 + 2) = - 7

y = ( - 7)x + ( - 2) = - 7x - 2 i.e.7x + y + 2 = 0