Answer:
y = -3x + 3
[tex]y=\frac{1}{3}x-7[/tex]
Step-by-step explanation:
Slope of a line passing through two points ([tex]x_1, y_1[/tex]) and [tex](x_2, y_2)[/tex] is determined by the formula,
Slope = [tex]\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]
If these points are (0, 3) and (3, -6),
Slope of the line passing through these lines = [tex]\frac{3+6}{0-3}[/tex] = (-3)
Equation of the line which passes through (0, 3) and slope = (-3),
y - y' = m(x - x')
y - 3 = (-3)(x- 0)
y - 3 = -3x
y = -3x + 3
Now slope of another line that passes through (3, -6) and (0, -7),
m' = [tex]\frac{(-6+7)}{(3-0)}[/tex]
m' = [tex]\frac{1}{3}[/tex]
Equation of the line that passes through (0, -7) and slope = [tex]\frac{1}{3}[/tex]
y - (-7) = [tex]\frac{1}{3}(x-0)[/tex]
y + 7 = [tex]\frac{1}{3}x[/tex]
y = [tex]\frac{1}{3}x-7[/tex]
Therefore, system of linear equations are,
y = -3x + 3
[tex]y=\frac{1}{3}x-7[/tex]
