What is the equation, in slope-intercept form, for the line that passes through the point (2, −3) and is perpendicular to the li

Question

2 years ago

14

ne represented by y  =  25x + 4 ?

1 answer:

diamong [38] · Answer 1 · 2022-10-23T06:27:45+03:00

Answer:

The equation is;

y = (-x-23)/25

Step-by-step explanation:

The equation of a straight line can be given as y = mx + b

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

for y = 25x + 4

m is 25

Now, we need the slope of a line perpendicular to this,

If two lines are perpendicular, the result of the product of their slopes is -1

m1 * m2 = -1

25 * m2 = -1

m2 = -1/25

Mathematically, we have the slope in the point slope form as ;

y+3 = -1/25 (x - 2)

y = -x/25 + 2/25

y = -x/25 + 2/25 - 3

y = -x/25 -73/25