The answer or range would be 40
First let’s find the equation:
a = (42-21)/(26-13)
a= 21/13
y-y1 = a(x-x1)
y-21=(21/13)(x-13)
y-21=(21/13)x - 21
y=(21/13)x-21+21
y=(21/13)x
Now we will find the other point:
X = 2 >> y =(21/13)*2 = 3.23 (not)
X = 3 >> y =(21/13)*3 = 4.84 (not)
X = 4 >> y =(21/13)*4 = 6.46 (not)
X = 5 >> y =(21/13)*5 = 8.07 (yes) find the answer
(-2,18):(8,38) Set them equal to each other you get, x^2-6x-16=0, you can factor to get, (x-8)(x+2) to get solutions 8,2 for the x values then plug in for y values.
Given:
The equation of given line is

A line is perpendicular to the given line and passes through the point (9,5).
To find:
The equation of the perpendicular line.
Solution:
We have,

On comparing this equation with slope intercept form
, we get

It means, the slope of the given line is 3.
The product of slopes of two perpendicular lines is -1.



Point slope form of a line is

Where, m is the slope.
The slope of perpendicular line is
and it passes through the point (9,5). So the equation of the line is



Adding 5 on both sides, we get


Therefore, the equation of required line is
.
Opposite angles
Opposite angles are non-adjacent angles that are formed by two intersecting lines. They are congruent.