Question

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

Answer 1

The value of ac is -1

Step-by-step explanation:

Let us revise some rules

• The 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-intercept
• The 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) = -1

The value of ac is -1

Learn more:

You can learn more about slopes of lines in brainly.com/question/1979240

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