Answer:
(1, 9)
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here m = [tex]\frac{1}{2}[/tex] and (a, b) = (- 7, 5), hence
y - 5 = [tex]\frac{1}{2}[/tex](x + 7)
y - 5 = [tex]\frac{1}{2}[/tex] x + [tex]\frac{7}{2}[/tex]
y = [tex]\frac{1}{2}[/tex] x + [tex]\frac{17}{2}[/tex] ← equation of line
To find another point on the line choose any value of x and substitute into the equation for the corresponding y- coordinate
x = 1 : y = [tex]\frac{1}{2}[/tex] + [tex]\frac{17}{2}[/tex] = 9
Thus (1, 9) is another point that the line passes through
