Analyze the graph points -2,-3/-1,-1/0,1/1,3/2,5 and write a linear function in slope-intercept form.
(1 point)
y=
x+
To analyze the graph points -2,-3/-1,-1/0,1/1,3/2,5, we can plot these points on a coordinate plane:
(-2,-3)
(-1,-1)
(0,1)
(1,3)
(2,5)
From the graph, we can see that these points form a straight line. To find the linear function, we need to determine its slope (m) and y-intercept (b).
m = (change in y) / (change in x) = (5-(-3)) / (2-(-2)) = 8 / 4 = 2
Using the slope-intercept form of a linear equation, y = mx + b, we can substitute the values of m and one of the points to solve for b.
Using the point (1,3):
3 = 2(1) + b
3 = 2 + b
b = 3 - 2
b = 1
Therefore, the linear function in slope-intercept form is:
y = 2x + 1