Find the equation of the linear function represented by the table below in slope intercept form x 0,1,2,3,4 y 7,14,21,28,35
To find the equation of the linear function represented by the table, we can first find the slope using two points from the table. Let's use the points (0, 7) and (1, 14).
The slope (m) is given by the formula (change in y)/(change in x):
m = (14 - 7)/(1 - 0) = 7/1 = 7
Now, we have the slope (m = 7) and a point (0, 7). We can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.
Plugging in the values, we have:
y = 7x + b
To find the value of b, we can use the point (0, 7):
7 = 7(0) + b
7 = 0 + b
b = 7
Therefore, the equation of the linear function represented by the table in slope-intercept form is:
y = 7x + 7