Answer:
y= 9.
Step-by-step explanation:
• For this, we may use the formula to craft the linear equation for this point:
Fórmula:
[tex]y-y_{1} =m(x-x_{1} )[/tex]
Substitute with the given values:
[tex]y-2 =-\frac{7}{8} (x-5)[/tex]
Simplify (make sure to apply the distributive property to multiply the slope by the 2 terms inside the parenthesis):
[tex]y-2 =-\frac{7}{8} x+\frac{35}{8}[/tex]
Solve for y:
[tex]y =-\frac{7}{8} x+\frac{35}{8}+2[/tex]
Simplify:
[tex]y =-\frac{7}{8} x+\frac{35}{8}+\frac{16}{8} \\\\y =-\frac{7}{8} x+\frac{51}{8}[/tex]
• Now that we have the equation of the line, take the knows values and solve calculate y:
[tex]y =-\frac{7}{8} (-3)+\frac{51}{8}\\\\y =\frac{21}{8} +\frac{51}{8}\\\\y =\frac{72}{8}\\\\y=9[/tex]
