A line with slpoe 3 passes through the point (0.10). What is the y-coordinate of the point on the line with x-coordinate 2

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

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

Therefore, the equation of a line with slope 3 passes through the point (0, 10) will be:

Now, substituting x = 2 in the equation

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.