To find the equation of the line that passes through two points, we first need the coordinates of the points. Let’s call these points (x₁, y₁) and (x₂, y₂).
The first step is to calculate the slope (m) of the line using the formula:
m = (y₂ – y₁) / (x₂ – x₁)
Once we have the slope, we can use the point-slope form of the equation of a line, which is:
y – y₁ = m(x – x₁)
To convert this into the slope-intercept form (y = mx + b), we can isolate y:
y = mx – mx₁ + y₁
Here, (mx₁ – y₁) will yield the y-intercept (b).
Thus, the final equation of the line can be expressed as:
y = mx + b
By substituting the calculated slope (m) and the y-intercept (b), you’ll have the equation of the line that passes through the two given points.