Question

Select the equation of the line that passes through (−5,−3)and (−7,−12).

Answer 1

The equation of the line passing through the points (-5, -3) and (-7, -12) is y = 4.5x + 19.5.

Step-by-step explanation:

To find the equation of a line that passes through the points (-5, -3) and (-7, -12), we need to find the slope (m) of the line using the formula m = (y2 - y1) / (x2 - x1).

Substituting the given points into this formula, we get m = (-12 + 3) / (-7 + 5) = -9 / -2

= 4.5.

Now that we have the slope, we use point-slope form y - y1 = m(x - x1) to find the equation of the line.

Using point (-5, -3) and slope 4.5, the equation becomes y + 3 = 4.5(x + 5).

Simplifying gives us y = 4.5x + 19.5 as the equation of the line.