a graph has the points (-2, -3) (-1,-1) (0, 1) (1, 3) (2, 5) what is the slope and equation of the line? is it proportional?
The slope of the line can be calculated using the formula:
slope = (y2 - y1) / (x2 - x1)
Using the points (-2, -3) and (-1, -1):
slope = (-1 - (-3)) / (-1 - (-2))
slope = 2 / 1
slope = 2
The equation of a line in slope-intercept form (y = mx + b) is y = 2x + b. To find the value of b, we can substitute one of the given points into the equation. Let's use the point (0, 1):
1 = 2(0) + b
b = 1
Therefore, the equation of the line is y = 2x + 1.
Since the slope is the same for all the points given, the line is constant in its rate of increase and is proportional.