What is the equation of the graph?
y=7/4x-5/2
y=3/2x-5/2
y=5/2x+3/2
y=-5/2x+3/2

A

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 = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, - 2.5) and (x₂, y₂ ) = (2, 1) ← 2 points on the line

m = = =

Note the line crosses the y- axis at (0, - 2.5) ⇒ c = - 2.5 = -

y =   x - → A

Step-by-step explanation:

The equation of a line passing through points (a,b) and (c,d) is given by :-

From the given graph , it can be seen that the line is passing through (0,-2.5) and (2,1).

Then, the equation of line passing through (0,-2.5) and (2,1) will be:-

Hence, the equation of the graph is