Which of the following equations represents the line shown in the graph?

Options

A. `y=6x+(1)/(4)`
B. `y=(x)/(4)+6`
C. `y=4x+6`
D. `y=6x+4`

Answer

B

Explanation

Difficult: Easy
Category: Heart of Algebra/ linear equations
Strategic Advice : When asked to match a graph to an equation, always start by examining the answer choices. Here, the equations are written in slope-intercept from `(y=mx+b)`, so find the slope of the line and its y-intercept and match them to m and b in the correct equation.
Getting to the Answer: The line crosses the vertical axis at `(0, 6)`, making the y-intercept of the line 6, which means you can immediately eliminate A and D. To find the slope of the line, ypu can count the rise and the run from the y-intercept on the next point that lands on the intersection of two grid-lines, `(4, 7)`, or you can use the slope formula. Either way, you'll find that the slope is `(1)/(4)`, which makes (B) the correct answer.