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Equation of a line, passing through the intersection of lines `2x+y-1=0` and `x-3y+1=0` be <br> `(2x+y-1)+lambda(x-3y+1)=0` <br> `implies x(2+lambda)+y(1-3lambda)+lambda-1=0`…..`(1)` <br> This line will be parallel to `X`-axis if <br> `"Coefficient of" x=0` <br> `2+lambda=0` <br> `implies lambda=-2` <br> Put `lambda=-2` in eq. `(1)` <br> `0+y(1+6)+(-2-1)=0` <br> `implies 7y-3=0`**Theorem :-Every first degree equation in x,y represents a straight line.**

**Find the slope of a line when two points having coordinates are given ?**

**Find the slope of a line having equation of the form `ax+by+c=0`**

**Find the angles between two lines .**

**Examples :(i) Let A(6,4) and B(2,12) be two given points.Find the slope of the line perpendicular to AB. (ii) If line `3x-ay-1=0` is parallel to the line `(a-2)x-y+3=0` then find the values of a.**

**Condition for the parallelism of two lines.**

**Condition for Perpendicularity of two lines .**

**What is the intercept of a line on x- axis and y-axis ?**

**Equation of line parallel to x and y axis**

**Slope-intercept form of a line**