M L Aggarwal Solutions for Exercise 1: Exercise 12.1

Find the slope of a line whose inclination is $45°$.

Find the slope and $y$-intercept of the line $3x+5y+7=0$.

Find the slope and $y$-intercept of the line $\frac{x}{3}+\frac{y}{4}=1$.

Find the slope and $y$-intercept of the line $y-3=0$.

Find the slope and $y$-intercept of the line $x-3=0$.

The coordinates of two points $E$ and $F$ are $\left(0, 1\right)$ and $\left(3, 7\right)$ respectively. Find: the gradient of $EF$.

Find the equation of a line passing through the point $(1, 4)$ and intersecting the line $x-2y-11=0$ on the $y$-axis.

Hint. The line $x-2y-11=0$.

$\mathrm{M} \text{and} \mathrm{N}$are two points on the x-axis and y-axis respectively. $P(3, 2)$ divides the line segment $\mathrm{MN}$ in the ratio $2: 3$. Find slope of the line $\mathrm{MN}$