Answer:
y = x - 3
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept → (0, b)
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (7, 4) and (0, -3) → b = -3.
Substitute to the formula of a slope:
[tex]m=\dfrac{-3-4}{0-7}=\dfrac{-7}{-7}=1[/tex]
Finally we have the equation:
[tex]y=1x-3[/tex]
