Answer: [tex]y=-9x+5[/tex]
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
Where "m" is the slope of the line and "b" is the y-intercept.
By definition, the line intersects the y-axis when the value of "x" is zero.
According to the information given in the exercise, the line passes through the point (0,5).
Therefore, keeping the above on mind, the y-intercept is:
[tex]b=5[/tex]
And the slope of the line is:
[tex]m=-9[/tex]
Therefore, knowing the values of "m" and "b", you can substitute them into the equation [tex]y=mx+b[/tex].
Then, the complete equation of this line in Slope-Intercept form is the following:
[tex]y=-9x+5[/tex]
