Question

a line with slope 3 passes through point (0,10). What is the y-coordinate of the point on the line with x-coordinate 2

Answer 1

The y-coordinate is 16

Solution:

Given that a line with slope 3 passes through point (0, 10)

To find the y-coordinate of the point on the line with x-coordinate 2

Which means the point is (2, y)

Let us find the required y co-ordinate using slope formula

The slope of line is given as:

For a line containing points
`(x_1 , y_1)` and
`(x_2 , y_2)` is given as:

`\text {slope}=m=(y_(2)-y_(1))/(x_(2)-x_(1))`

`\text {Here } x_(1)=0 ; y_(1)=10 ; x_(2)=2 ; y_(2)=y`

Given that slope "m" = 3

Substituting the values we get,

`\begin{array}{l}{3=(y-10)/(2-0)} \\\\ {3=(y-10)/(2)} \\\\ {6=y-10} \\\\ {y=10+6=16}\end{array}`

Thus the y-coordinate is 16