Answer:
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 A(0, -4) → b = -4 and B(6, 2).
Calculate the slope:
[tex]m=\dfrac{2-(-4)}{6-0}=\dfrac{6}{6}=1[/tex]
Put the value of m and of b to the equation:
[tex]y=1x-4[/tex] add 4 to both sides
[tex]y+4=x[/tex]