Answer:
x = 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
here m = - [tex]\frac{7}{2}[/tex] and c = 12
y = - [tex]\frac{7}{2}[/tex] x + 12 ← equation in slope-intercept form
given (x, 5) lies on the line, solve for x by letting y = 5
- [tex]\frac{7}{2}[/tex] x +12 = 5
multiply all terms by 2 to eliminate the fraction
- 7x + 24 = 10 ( subtract 24 from both sides )
- 7x = - 14 ( divide both sides by - 7 )
x = 2
