Answer:
y= 2x +6
Step-by-step explanation:
Slope-intercept form
y= mx +c, where m is the slope and c is the y-intercept.
[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
Slope
[tex] = \frac{6 - ( - 2)}{0 - ( - 4)} [/tex]
[tex] = \frac{6 + 2}{0 + 4} [/tex]
[tex] = \frac{8}{4} [/tex]
= 2
y= 2x +c
y-intercept occurs at x= 0. Since we are given that the line passes through the coordinates (0, 6), the y-intercept is 6.
Thus, the equation of the line is y= 2x +6.
