The graph of the linear function passes through the points (4,24) and (6,30) What is the equation of the function? y=square x+?

To find the equation of the linear function, we need to determine the slope and the y-intercept.Step 1: Find the slope (m) using the given points and .The formula for finding the slope between two points is: Substituting the values from the given points: So, the slope (m) is 3.Step 2: Use the slope-intercept form of a linear equation, which is: where m is the slope and b is the y-intercept.We already have the slope (m = 3), so we can substitute one of the given points into the equation to solve for the y-intercept (b).Using the point : So, the y-intercept (b) is 12.Step 3: Write the equation of the linear function using the slope (m) and y-intercept (b) we found. Therefore, the equation of the linear function is: