Question

A line passes through the points (– 7,– 2) and (– 14,– 7). Which points lie on the same line? Select all that apply.

Answer 1

To find the equation of the line passing through two given points, we can use the slope-intercept form. By determining the slope and y-intercept, we can write the equation and identify which points lie on the same line.

Step-by-step explanation:

The equation of the line passing through the points (–7, –2) and (–14, –7) can be found using the slope-intercept form.

First, we find the slope by using the formula: m = (y2 - y1) / (x2 - x1). Plug in the coordinates of the two points to find the slope.

Then, use the slope-intercept form y = mx + b and one of the points to solve for the y-intercept (b).

The final equation will enable us to determine which points lie on the same line by substituting the x and y values into the equation.