What is the equation in slope intercept form of the line that passes through the point (2,-2) and is perpendicular to the line b

Question

saveliy_v [14]

3 years ago

9

What is the equation in slope intercept form of the line that passes through the point (2,-2) and is perpendicular to the line b

y y=2/5x+2

Mathematics

2 answers:

Gala2k [10] · Answer 1 · 2022-07-22T00:02:05+03:00

Answer:

y= - 5/2x - 2

Step-by-step explanation:

Y=2/5x + 2

Making it perpendicular, the slope will change to it's reciprocal and swap operations (+ becomes -). 2/5 will be -5/2. We already know the y-intercept which is -2, so simply put, the equation in slope-intercept form is y = -5/2x - 2

Sophie [7] · Answer 2 · 2022-07-22T02:15:31+03:00

Answer:

y = -5/2x + 3

Step-by-step explanation:

<u>Given function:</u>

y = 2/5x + 2

Perpendicular lines have opposite reciprocal slopes.

The line that is perpendicular to the given will have a slope of -5/2.

<u>Now use the point (2, -2) and point-slope form to find the equation:</u>

y - (-2) = -5/2(x - 2)
y = -5/2x + 5 - 2
y = -5/2x + 3