Mathematics: What is the equation of the line perpendicular to y=5/4x-10 and passes through the point (11,6)?

What is the equation of the line perpendicular to

Ответ:

lisnel

11.07.2021

Mathematics

$y=-\frac{4}{5}x+\frac{74}{5}$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: y=mx+b

where m is the slope and b is the y-intercept (the value of y when x is equal to 0)Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 5/6 and -6/5, etc.)

1) Determine the slope (m)

$y=\frac{5}{4} x-10$

From the given equation, we can identify clearly that the slope of this line is

$\frac{5}{4}$ . The negative reciprocal of $\frac{5}{4}$ is $-\frac{4}{5}$ , so therefore, the slope of the line we're currently solving for is $-\frac{4}{5}$ . Plug this into y=mx+b :