Line 1 passes through (4, 5) and it’s perpendicular to the line shown on the coordinate grid
a. x+ 6y= 114
b. -6x- y= 19
c. x- 6y= -114
d. 6x- y= 19

6x -y = 19

So, Option D is correct.

Step-by-step explanation:

Line 1 has points (4,5)

The other line has points (0,3) and (6,2)

The slope of this line is: m = y₂ - y₁/x₂ - x₁

m = 2-3/6-0

m = -1/6

Since both lines are perpendicular, so their slopes will be: m = -1/m

Since this line is perpendicular to the given other line so, slope of line 1 will be: 6

Now find y-intercept i.e b

y = mx+b

5 = 6(4)+b

5 = 24 + b

=> b = 5-24

=> b = -19

So, The equation will be:

m = 6, b = -19

y= mx + b

y = 6x -19

y - 6x = -19

Multiply with -1

-y +6x = 19

or 6x -y = 19

So, Option D is correct.

all it means is function 3