Question

HELP PLS GEOMETRY SLOPE

Answer 1

y=-2/1x+5 is the slope

Answer 2

y = - 2x + 5

Explanation:

The equation of a line in slope- intercept form is

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

Calculate m using the slope formula

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

with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (4, - 3) ← 2 points on the line

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

y = - 2x + b ← is the partial equation

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

Using (2, 1 ) , then

1 = - 4 + b ⇒ b = 1 + 4 = 5

y = - 2x + 5 ← equation of line