Question

Equation of line that has y intercept 4 and is perpendicular to the line joining (2,-3) and (4,2) is?

Answer 1

Answer:

$y = - \frac{5}{2} x + 4$

Step-by-step explanation:

Slope of the line joining ( 2 , -3 ) and ( 4 , 2 ) is,

$m = \frac{2 + 3}{4 - 2} = \frac{5}{2}$

We take the negative of the above slope. Since, the lines are perpendicular.

y-intercept is given as 4 which is denoted by c.

$c = 4$

Therefore, the equation of the line is,

$y = - \frac{5}{2} x + 4$

Answer 2

Step-by-step explanation:

We are given two points (2,-3) and (4,2)

so slope for above points is

$m = \frac{y2 - y1}{x2 - x1 } \\ m = \frac{2 + 3}{4 - 2} \\ m = \frac{5}{2}$

We take above answer as negative since we are given perpendicular.

And we are given Y inercept (c)=4

Thus the equation forms here is:

$y = \frac{ - 5}{2} + 4$

HOPE IT WAS HELPFUL TO YOU...