Final answer:
To find the equation of a line given a point and the slope, we use the point-slope form of a linear equation. For the given point (-3, 14) and slope -2, the equation of the line is y = -2x + 8.
Step-by-step explanation:
To find the equation of a line given a point and the slope, we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) represents the given point and m represents the slope.
In this case, the given point is (-3, 14) and the slope is -2. Substituting these values into the point-slope form, we get y - 14 = -2(x - (-3)).
Simplifying further, we have y - 14 = -2(x + 3). To get the equation in slope-intercept form (y = mx + b), we can distribute the -2 and simplify: y - 14 = -2x - 6. Rearranging the equation, we have y = -2x + 8.