Write an equation of the line satisfying the following conditions. If possible, write your answer in the form y = mx + b.Passing through the points (5, 23) and (−2, 2)

To find the equation of the line, we first need to find the slope (m). The formula for the slope when given two points, (x1, y1) and (x2, y2), is:

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

Substituting the given points (5, 23) and (-2, 2) into the formula, we get:

m = (2 - 23) / (-2 - 5) = -21 / -7 = 3

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

y - y1 = m(x - x1)

Substituting m = 3 and the point (5, 23) into the equation, we get:

y - 23 = 3(x - 5)

Solving for y gives us the equation of the line in slope-intercept form (y = mx + b):

y = 3x - 15 + 23 y = 3x + 8

So, the equation of the line passing through the points (5, 23) and (-2, 2) is y = 3x + 8.