Is the following statement true or false? In a co–ordinate plane, every vertical line is perpendicular to every horizontal line.

Check whether the graphs of the equations given below represent parallel lines. Explain your answer.

**line a:**

**line b:**

Check whether the graphs of the equations given below represent parallel lines. Explain your answer.

**line a:**

**line b:**

Check if the graph of the pair of equations given below are parallel, perpendicular or neither.

*y* = 0.8*x* + 4

4*y* = –5*x*
+ 2

Check if the graph of the pair of equations given below are parallel, perpendicular or neither.

*y* + 14 = 9

*y* + *x* = *y* + 5

Form the equation in the slope–intercept form of the line that passes through the given point and is parallel to the graph of the equation.

(3, 4), *y* = *x* + 7

Form the equation in slope–intercept form of the line that passes through the given point and is parallel to the graph of the equation.

(6, 7), 9*x *– 8*y* = 24

Form the equation of the line in–slope–intercept form that passes through the given point and is perpendicular to the graph of the given equation.

(7, –14), 3*x* –10*y *= 6

Form the equation of the line in slope–intercept form that passes through the given point and is perpendicular to the graph of the given equation.

(7, –1), 4*y* +2*x* = 4

Form the equation in slope–intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation.

(0, –2), 6*x* – *y* = 4

Refer to the graph alongside. Compute the slopes of the sides to find if the figure is a parallelogram.

Sketch the graph of the line *y* = 6*x* + 3. Find the equations of three other lines that, together with the line *y* = 6*x* + 3, would form a rectangle. Graph your rectangle.