Question

Please please help me out!!!!!!!!!

Answer 1

y = 3/4x + 1/4.

Explanation:

The upper dot on the line is the point (5, 4) and the lower one is the point (-3,-2) so the slope of the line is:

(4 - -2) / (5 - -3)

= 6/8

= 3/4.

Using the point slope form of a line with m = 3/4 and (x1,y1) = (5,4)

y - y1 = m(x - x1)

y - 4 = 3/4(x - 5)

y = 3/4x + 1/4

Answer 2

y =
`(3)/(4)` x +
`(1)/(4)`

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 = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 3, - 2) and (x₂, y₂ ) = (5, 4) ← 2 points on the line

m =
`(4+2)/(5+3)` =
`(6)/(8)` =
`(3)/(4)`, thus

y =
`(3)/(4)` x + c ← is the partial equation of the line

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

Using (5, 4), then

4 =
`(15)/(4)` + c ⇒ c = 4 -
`(15)/(4)` =
`(1)/(4)`

y =
`(3)/(4)` x +
`(1)/(4)` ← equation of line