If the slope of a line is $2$ and it makes an intercept of $-4$ on the $y$-axis,then its equation is:

The equation of the line whose midpoint between the axes is $({x_1}, {y_1})$ is:

In the figure,a time-distance graph of a linear motion is given. Two positions of time and distance are recorded as: when $T = 0, D = 2$ and when $T = 3, D = 8$. Using the concept of slope,find the law of motion,i.e.,how distance depends upon time.

Find the equation of the straight line passing through the point $(3, 4)$ such that the sum of its intercepts on the axes is $14$.

The polar equation $\cos \theta + 7 \sin \theta = \frac{1}{r}$ represents a

The equation of the line perpendicular to the line $\frac{x}{a} - \frac{y}{b} = 1$ and passing through the point at which it cuts the $x$-axis,is