Question

22. Write the equation of the line through (3, 4) and (2, 1) in slope-intercept form. (Hint: Find point-slope form first)​

Answer 1

Answer:

y = 3x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (3, 4 ) and (x₂, y₂ ) = (2, 1 )

m = $\frac{1-4}{2-3}$ = $\frac{-3}{-1}$ = 3 , then

y = 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 1 ) , then

1 = 6 + c ⇒ c = 1 - 6 = - 5

y = 3x - 5 ← equation of line