Question

Is the following lines perpendicular y=3x+2 and y=-3x+5True or false

Answer 1

`\text{False}`

Step-by-step explanation:

Here, we want to check if the two given lines are perpendicular to one another

When two lines are perpendicular, the product of their slopes equal to -1

For a straight line, the equation in the slope-intercept form is:

`y\text{ = mx + b}`

where m is the slope of the line and b is the y-intercept of the line

For the first line, the slope is 3 while for the second, the slope is -3

The product of this two is not -1 and thus, the two lines are not perpendicular