Question

Write the slope-intercept form of the equation of the line through the given points.

through: (0, 2) and (-1,-5)

Answer 1

y = 7x +2

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

with (x₁, y₁ ) = (0, 2 ) and (x₂, y₂ ) = (- 1, - 5 )

m =
`(-5-2)/(-1-0)` =
`(-7)/(-1)` = 7

the line crosses the y- axis at (0, 2 ) ⇒ c = 2

y = 7x + 2 ← equation of line