Question

Write an equation of the line that passes through a pair of points: (-3, 1), (-2, -5)?

1) y = 6x - 17
2) y = -6x - 17
3) y = -6x
4) y = -6x + 1/17

Answer 1

The equation of the line that passes through the points (-3, 1) and (-2, -5) is y = -6x + 17.

Step-by-step explanation:

To find the equation of the line that passes through the points (-3, 1) and (-2, -5), we need to find the slope and the y-intercept. The formula to find the slope, m, is (y2 - y1) / (x2 - x1). Plugging in the coordinates, we get m = (-5 - 1) / (-2 - (-3)) = -6.

Next, we can use the point-slope form of a linear equation, y - y1 = m(x - x1), where m is the slope and (x1, y1) is one of the points. Choosing the first point (-3, 1), we have y - 1 = -6(x - (-3)). Simplifying this equation, we get y = -6x + 17.

Therefore, the correct equation of the line is y = -6x + 17 (Option 1).