OG详解-OG5 数学2 Q13

The correct answer is 44​3​. A linear equation can be written in the form y=mx+b, where m is the slope of the graph of the equation in the xy-plane and (0,b) is the y-intercept. Distributing the 1​3​in the equation y=13​(29x+10)+5x​ yields y=293​x+103​+5x​ . Combining like terms on the right-hand side of this equation yields y=443​x+10​3​. This equation is in the form y=mx+b, where m= 443​​ and b= 10​3. Therefore, the slope of the graph of the given equation in the xy-plane is 44​3​. Note that 44/3, 14.66, and 14.67 are examples of ways to enter a correct answer.