Question

Write an equation for the line shown pictured in the graph.

Answer 1

Answer:

4y =  x + 13

Step-by-step explanation:

The general equation of the line y = mx + c

where m is the slope and c is constant represent y-intercept

The line shown in the graph pass through the points (3,4) , (-1,3)

The slope of the line = (y₂-y₁)/(x₂-x₁) = (3-4)/(-1-3) = -1/-4 = 1/4

∴ y = (1/4) x + c

Substitute with the point (3,4) to find c

∴ 4 = (1/4) 3 + c

∴ c = 4 - 3/4 = 13/4

∴ y = (1/4) x + 13/4 ⇒ multiply both sides by 4

∴ 4y =  x + 13

So, The equation of the line in the graph: 4y =  x + 13

The equation can be written as y = (1/4) x + 13/4  OR  4y - x = 13