Question

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

Answer 1

When x-coordinate x = 2, the value of the y-coordinate is: y = 16

Please also check the graph.

Explanation:

The slope-intercept form of the line equation

`y = mx+b`

where

• m is the slope

• b is the y-intercept

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

`y = mx+b`

`y = 3x+10`

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

`y = 3x+10`

Now, substituting x = 2 in the equation

`y = 3x+10`

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.