Answer:
When x-coordinate x = 2, the value of the y-coordinate is: y = 16
Please also check the graph.
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
Given
The point (0, 10)
The slope m = 3
The value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
We have given the point (0, 10)
It means:
at x = 0, y = 1
0
Therefore, the y-intercept b = 10
so substituting b = 10 and m = 3 in the slope-intercept form
[tex]y = mx+b[/tex]
[tex]y = 3x+10[/tex]
Therefore, the equation of a line with slope 3 passes through the point (0, 10) will be:
[tex]y = 3x+10[/tex]
Now, substituting x = 2 in the equation
[tex]y = 3x+10[/tex]
y = 3(2) + 10
y = 6+10
y = 16
Therefore, when x-coordinate x = 2, the value of the y-coordinate is: y = 16
Please also check the graph.
