Question

Build a slope-intercept equation y = mx + b of the line passing through the points (1, 2) and (4, 5).

and point-slope formula is y2 — Y₁ = m (x₂ − x₁)-
Remember, the equation for slope is m
3/2
72-21
y = type your answer...
+ type your answer...

Answer 1

y = x + 1

Explanation:

the equation of a line in slope- intercept form is

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

calculate slope m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

let (x₁, y₁ ) = (1, 2 ) and (x₂, y₂ ) = (4, 5 )

substitute these values into the formula for m

m =
`(5-2)/(4-1)` =
`(3)/(3)` = 1 , then

y = x + c ← is the partial equation

to find c , substitute either of the 2 points into the partial equation

using (1, 2 ) for x and y in the partial equation

2 = 1 + c ( subtract 1 from both sides

1 = c

y = x + 1 ← equation of line