Question

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

Answer 1

Answer:

y = 2x -3

Step-by-step 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 = $\frac{rise}{run}$

          = $\frac{1-(-3)}{2-0}$

          = $\frac{1+3}{2-0}$

          = $\frac{4}{2}$

          = 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