Question

Determine the intercepts of the line.
2. + 5y = -6
y-intercept: (_,_)
x-intercept: (_,_)​

Answer 1

Given that the equation of the line is $2x+5y=-6$

We need to determine the x and y intercepts.

The coordinates of y - intercept:

The y - intercept of the equation is the value of y when x = 0.

Thus, substituting x = 0 in the equation $2x+5y=-6$, we get;

$2(0)+5y=-6$

          $5y=-6$

            $y=-\frac{6}{5}$

Thus, the coordinates of the y - intercept are $(0,-\frac{6}{5})$

The coordinates of the x - intercept:

The x - intercept of the equation is the value of x when y = 0.

Hence, substituting y = 0 in the equation  $2x+5y=-6$, we get;

$2x+5(0)=-6$

          $2x=-6$

            $x=-3$

Thus, the coordinates of the x - intercept is $(-3,0)$