Use the graph to derive the equation y=mx for a line through the origin. Simplify the numerical coefficient, if needed. (1 point) Responses y=3x y equals 3 x y=x y equals x y=33x. What’s the answer
The equation for a line through the origin is y=mx, where m is the slope of the line. Looking at the graph, it appears the line passes through the point (3,9), which means the slope is 9/3=3. Therefore, the equation for the line through the origin is:
y=3x
So, the answer is y=3x.
The proportional relationship between inches and feet is displayed on the graph. Derive the equation of the line through the origin. (1 point) Responses y=112x y equals Start Fraction 1 over 12 End Fraction x y=12x y equals 12 x. What’s the answer
The proportional relationship between inches and feet can be represented as y=12x, where y is the number of inches and x is the number of feet. This equation represents the conversion from feet to inches, as there are 12 inches in 1 foot.
Therefore, the correct answer is:
y=12x