Answer:
y = [tex]\frac{8}{9}x+\frac{71}{9}[/tex]
Step-by-step explanation:
Given equation of a line is,
y = [tex]\frac{8}{9}x+8[/tex]
If we compare this equation with slope-intercept of a line,
Slope of this line = [tex]\frac{8}{9}[/tex]
Since slope of all the lines parallel to this line will be equal,
Slope of the parallel line = [tex]\frac{8}{9}[/tex]
Line passing through (x', y') and slope 'm' is represented by,
y - y' = m(x - x')
Therefore, equation of the line passing through (-1, 7) and having slope [tex]\frac{8}{9}[/tex] will be,
y - 7 = [tex]\frac{8}{9}(x+1)[/tex]
y = [tex]\frac{8}{9}x+\frac{8}{9}+7[/tex]
y = [tex]\frac{8}{9}x+\frac{71}{9}[/tex]
