Answer :
Using linear function concepts, it is found that these lines intersect at x = 8.
The equation of a line is given by:
[tex]y = mx + b[/tex]
In which:
- m is the slope, which is the rate of change.
- b is the y-intercept, which is the value of y when x = 0.
- If two lines are perpendicular, the multiplication of their slopes is -1.
Line perpendicular to y = 2x - 3.
Multiplication of the slopes is -1, thus:
[tex]2m = -1[/tex]
[tex]m = -\frac{1}{2}[/tex]
y-intercept of 17 means that b = 17, thus, the equation of the line is:
[tex]y_p = -\frac{1}{2}x + 17[/tex]
They intersect at the value of x for which:
[tex]y = y_p[/tex]
Then
[tex]2x - 3 = -\frac{1}{2}x + 17[/tex]
[tex]2x + \frac{1}{2}x = 20[/tex]
[tex]\frac{5x}{2} = 20[/tex]
[tex]5x = 40[/tex]
[tex]x = \frac{40}{5}[/tex]
[tex]x = 8[/tex]
A similar problem is given at https://brainly.com/question/23771886