One of the following is an equation of the linear relation shown in the standard (x,y) coordinate plane

One of the following is an equation of the linear relation shown in the standard (x,y) coordinate plane below. Which equation is it?

1. y = 5x
2. y = 2x
3. y = 5x + 2
4. y = 2x - 5
5. y = 2x + 5

Answer

The correct answer is E.

Each answer choice is a linear equation in slope-intercept form, that is, y = mx + c, where the value of m gives the slope of the line and the value of c gives the y-intercept of the line.

Only the equation shown in E represents a line having a y-intercept (c = 5), that matches the value of the y-intercept indicated by the given graph.