What is the equation of a line through (-1, 4) and (-2, 7)?

The equation of a line can be found using the formula y = mx + b, where m is the slope of the line and b is the y-intercept.

Step 1: Find the slope (m) The slope of a line passing through the points (x1, y1) and (x2, y2) is given by the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the given points (-1, 4) and (-2, 7) into the formula, we get:

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

Step 2: Find the y-intercept (b) We can find the y-intercept by substituting one of the points and the slope into the equation y = mx + b and solving for b. 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.