Question

(05.02) A line passes through (2, 8) and (4, 12). Which equation best represents the line?

Answer 1

We can use the points (2, 8) and (4, 12) to solve.

Slope formula: y2-y1/x2-x1

= 12-8/4-2

= 4/2

= 2

Based on the question, we need to put the equation in slope-intercept form (y = mx + b).

Let's solve for the y-intercept. (We can use the point 2, 8 to solve).

y = 2x + b

8 = 2(2) + b

8 = 4 + b

8 - 4 = 4 + b - 4

4 = b

Now, that we know what the slope and y-intercept is we can put this into the final equation.

y = 2x + 4 (third option)

Best of Luck!