Questions: Solve for y: y-12=0. A. 12 B. -12 C. 2 D. 17

Transcript text: 14. Solve for $\mathrm{y}: \mathrm{y}-12=0$. A. 12 B. -12 C. 2 D. 17

Solution

Step 1: Find two points on the line

We can choose two points that the line passes through. It appears to pass through (3,0) and (4,2).

Step 2: Calculate the slope

The slope of a line is given by the formula:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Using the points (3,0) and (4,2), we have:

$m = \frac{2 - 0}{4 - 3} = \frac{2}{1} = 2$

Step 3: Use the point-slope form

The point-slope form of a linear equation is given by:

$y - y_1 = m(x - x_1)$

Using the point (3,0) and the slope $m = 2$, we get:

$y - 0 = 2(x - 3)$ $y = 2x - 6$

\$\boxed{y = 2x - 6}\$

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