To develop the equation of a line using two points, you can use the slope-intercept form. The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. In this case, the equation of the line is y = x + 1.
To develop the equation of a line using two points, you can use the slope-intercept form. The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
Step 1: Calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1).
In this case, the points are (4,5) and (1,2), so:
m = (5 - 2) / (4 - 1)
= 3 / 3
= 1.
Step 2: Choose one of the points (let's use (4,5)) and substitute the values of x and y into the slope-intercept form.
5 = 1(4) + b.
Solve for b:
b = 5 - 4
= 1.
Step 3: Write the equation of the line using the slope (m = 1) and the y-intercept (b = 1).
The equation is y = x + 1.