Q.The slope of the line $6x - 2y + 5 = 0$ :

The same line can be written as point-slope form $y-y_1=m(x-x_1)$, two-point form (point-slope with the slope computed from two given points), or intercept form $\dfrac{x}{a}+\dfrac{y}{b}=1$. Which form to start from depends purely on what the question gives — a point and a slope, two points, or two intercepts — but every form, once multiplied out, reduces to the single general form $ax+by+c=0$, from which t …