Find an equation for the line that passes through the points −−5, 4 and −1, 1.

To find the equation of the line that passes through the points (-5, 4) and (-1, 1), we first need to find the slope (m) of the line. The formula for the slope is:

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

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Substituting the given points into the formula, we get:

m = (1 - 4) / (-1 - (-5)) = -3 / 4 = -0.75

Now that we have the slope, we can use the point-slope form of the equation of a line to find the equation of the line. The point-slope form is:

y - y1 = m(x - x1)

Substituting the slope and one of the points into the formula, we get:

y - 4 = -0.75(x - (-5))

Simplify the equation:

y - 4 = -0.75x - 3.75

Add 4 to both sides to solve for y:

y = -0.75x + 0.25

So, the equation of the line that passes through the points (-5, 4) and (-1, 1) is y = -0.75x + 0.25.