Question

What method can be used to write the equation of a line in slope-intercept form given two points?

y₂-y₁
X₂-X₁1
, and then substitute one point and the slope into the equation y =mx+
O Find the slope using the formula m=
to find the y-intercept.
X₂-X₁
O Find the slope using the formula m= y₂-y, and then substitute one point and the slope into the equation y = mx +
to find the y-intercept.
O Find the y-intercept using the formula m-
y=mx+b to find the slope.
Y₂-V₁
X₂-X₁¹
Find the y-intercept using the formula m-
y=mx+b to find the slope.
, and then substitute one point and the y-intercept into the equation
X₂-X₁
y2-y₁¹
, and then substitute one point and the y-intercept into the equation

Answer 1

Answer:
y₁ = mx₁ + b

Explanation:
Find the slope using the formula:

m = (y₂ - y₁) / (x₂ - x₁)

Then, substitute one point and the slope into the equation:

y = mx + b

To find the y-intercept (b), you can use one of the given points (x₁, y₁) and the slope (m) in the equation and solve for b:

y₁ = mx₁ + b

This method allows you to determine both the slope and the y-intercept, which are needed to write the equation of the line in slope-intercept form (y = mx + b).