the graph goes through the points (2,5) (1,3) (0,1) (-1,-1) and (-2,-3)
Analyze the graph and write a linear function in slope-intercept form. y = _x +_
To find the linear function in slope-intercept form, we need to find the slope and y-intercept.
First, we find the slope (m) using two of the given points, (1, 3) and (2, 5):
m = (5 - 3)/(2 - 1) = 2/1 = 2
Next, we substitute the slope and one of the given points (let's use point (2, 5)) into the slope-intercept form (y = mx + b) to find the y-intercept (b):
5 = 2(2) + b
5 = 4 + b
b = 5 - 4
b = 1
Therefore, the linear function in slope-intercept form is:
y = 2x + 1