What method can be used to write the equation of a line in slope-intercept form given two points? Find the slope using the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, and then substitute one point and the slope into the equation y = m x + b to find the y-intercept. Find the slope using the formula m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction, and then substitute one point and the slope into the equation y = m x + b to find the y-intercept. Find the y-intercept using the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, and then substitute one point and the y-intercept into the equation y = m x + b to find the slope. Find the y-intercept using the formula m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction, and then substitute one point and the y-intercept into the equation y = m x + b to find the slope.

The Slope of line passing through two points can be given as m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] and equation of line y =mx +b. Option A is correct.

Methods to be determine the equation of line and slope of line passing through two points.

What is line?

Line is defined as curve showing the shortest distance between 2 points.

Here,
Slope of the line passing through two point is given as m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
Equation of line passing through two point = y = mx + b.
b can be find out via putting values of x, y and m in equation of line to get y intercept.

Thus, the Slope of line can be given as m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] and equation of line y =mx +b.

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