Question

Y=1/2x+13

Equation of a parallel line ?

Equation of a perpendicular line ?

Explain how you know if two lines are parallel or perpendicular based on their equations

Answer 1

Below in bold.

Explanation:

Y = mx + b is the slope-intercept form of a straight line where m = the slope of the line and b is the y-intercept.

Parallel lines have the same slope so the equation of a line parallel to

y = 1/2x + 13 could be y =1/2x + 10 as they have the same slope of 1/2.

Equations which are perpendicular:

If the slope of one is m then the slope of the perpendicular equation is -1/m.

So for y = 1/2 x + 13 an equation perpendicular could be y= -(1 / 1/2) + 13

= y = -2x + 13

Answer 2

1) y=1/2x+12

2)y=-2x+13

3) Parallel lines have same slope, different y intercept and perpendicular lines have opposite reciprocal slopes.

Explanation: