Look at the graph shown:

(image below)

Which equation best represents the line?

y = 1 over 3. x − 1

y = 3x − 1

y = −x + 1 over 3.

y = 3x + 1

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Step 1: Find the slope

Pick any two points on the line and use the slope formula to solve for the slope.

Slope Formula: (y2 - y1) / (x2 - x1)

Point 1 = (1,2)

Point 2 = (0,-1)

Slope = (-1 - 2) / (0 - 1) = -3 / -1 = 3

Step 2: Find the y-intercept

A graph may show the y-intercept, or where the line crosses the y-axis. But, if it was not shown, we can find it by plugging in a point and the y-intercept into slope-intercept form.

Slope-Intercept Form: y = mx + b

Point = (1,2)

Slope = 3

2 = 3(1) + b

2 = 3 + b

b = -1

Step 3: Put everything into slope-intercept form

Now that we know the slope and the y-intercept, all that's left to do is plug it into slope-intercept form.

Slope-Intercept Form: y = mx + b

Slope = 3

Y-Intercept = -1

ANSWER: y = 3x - 1

Hope this helps!

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step-by-step explanation: