What is the equation of a line through (-1, 4) and (-2, 7)?Question 27Select one:a.y = 3x + 1b.y = -3x + 1c.y = -3x + 7d.y = 3x + 7e.None of these

To find the equation of a line through two points, we can use the formula for the slope of a line, which is (y2 - y1) / (x2 - x1).

First, let's find the slope (m) using the given points (-1, 4) and (-2, 7):

m = (7 - 4) / (-2 - (-1)) = 3 / -1 = -3

So, the slope of the line is -3.

The equation of a line is generally given as y = mx + b, where m is the slope and b is the y-intercept. We can find b by substituting one of the points and the slope into this equation. Let's use the point (-1, 4):

4 = -3*(-1) + b 4 = 3 + b b = 4 - 3 = 1

So, the equation of the line is y = -3x + 1, which corresponds to option b.