Q:

The graphs of y=ax +b and y=cx + d are perpendicular. Find the value of ac.​

Accepted Solution

A:
The value of ac is -1Step-by-step explanation:Let us revise some rulesThe slope-intercept form of the linear equation is y = m x + b, where m is the slope of the line and b is the y-interceptThe product of the slopes of the perpendicular lines is -1∵ The equation of the first line is y = a x + b- The equation of the line in the slope-intercept form∴ m = a∴ The slope of the line = a∵ The equation of the second line is y = c x + d- The equation of the line in the slope-intercept form∴ m = c∴ The slope of the line = c∵ The two lines are perpendicular∵ The product of the slopes of the perpendicular lines is -1- Multiply the two slopes and equate the product by -1∴ (a)(c) = -1The value of ac is -1Learn more:You can learn more about slopes of lines in brainly.com/question/1979240#LearnwithBrainly