Answer:
The equation of the line with slope 6 and containing the point (0, 4) will be:
[tex]y = 6x+4[/tex]
The graph of the line y = 6x+4 is attached below.
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
Given
The y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
The point (0, 4) indicates that:
at x = 0, y = 4
Thus, the y-intercept b = 4
now substituting b = 4 and m = 6 in the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
[tex]y = 6x+4[/tex]
Thus, the equation of the line with slope 6 and containing the point (0, 4) will be:
[tex]y = 6x+4[/tex]
The graph of the line y = 6x+4 is attached below.
