Find the equation of the linear function represented by the table below in slope-intercept form. x: 1 2 3 4 y: 8 11 14 17
To find the equation of the linear function, we need to determine the values of the slope and y-intercept.
First, let's find the slope. The slope of a line can be found by using the formula:
slope = (change in y) / (change in x)
Given the points (1, 8) and (2, 11), the change in y is 11 - 8 = 3, and the change in x is 2 - 1 = 1. Therefore, the slope is:
slope = (3) / (1) = 3
Next, let's find the y-intercept. The y-intercept is the value of y when x is equal to 0. From the given table, we can see that when x is 0, y is 5. Therefore, the y-intercept is 5.
Now that we have the slope and y-intercept, we can write the equation of the linear function in slope-intercept form, which is:
y = mx + b
where m is the slope and b is the y-intercept. Substituting the values we found:
y = 3x + 5
So, the equation of the linear function represented by the table is y = 3x + 5.