Question

Enter the equation of the line which passes through the points (0,−3) and (2, 1)

Answer 1

y = 2x -3

Explanation:

The formula for the equation of a line is: y = mx + c where m is the slope of the line and c is the y-intercept of the line. I will be calculating the slope of the line using the points (0, 3) and (2, 1)

Slope =
`(rise)/(run)`

=
`(1-(-3))/(2-0)`

=
`(1+3)/(2-0)`

=
`(4)/(2)`

= 2

The y-intercept is the point on the y-axis when the point on the x-axis is 0. Based on the point (0, -3), you can see that the point on the y-axis, while the point on the x-axis is 0, is -3. Thus, the y-intercept is (-3).

Overall, the equation of the line is: y = 2x-3