Answer:
x = - [tex]\frac{11}{2}[/tex]
Step-by-step explanation:
rearrange the formula, giving x in terms of b, y and m
given y = mx + b ( subtract b from both sides )
mx = y - b ( divide both sides by m )
x = [tex]\frac{y-b}{m}[/tex]
evaluate using y = - 46, m = 6 and b = - 13
x = [tex]\frac{-46-(-13)}{6}[/tex] = [tex]\frac{-33}{6}[/tex] = - [tex]\frac{11}{2}[/tex]