Question

The equation y = =+32 can be used to find Fahrenheit temperature (y) when

given Celsius temperature (r). If this equation were graphed in a coordinate
plane, what would be the r- and y-intercepts?

Answer 1

The y-intercept of the equation y = mx + 32 is 32, and the r-intercept can be found by solving the equation for r.

Step-by-step explanation:

The equation y = mx + b represents a linear equation with the slope, m, representing the rate of change and the y-intercept, b, representing the initial value. In this case, the equation is y = mx + 32, where 32 is the y-intercept.

Hence, the r-intercept (Celsius temperature) would be the value of r when y is equal to zero and can be found by setting y = 0 and solving for r: 0 = mr + 32. Rearranging the equation, we get -32 = mr, and dividing both sides by m, we can solve for r.

Since m represents the rate of change, in this case, it represents the slope of the line, which is constant and equal to 9/5. Therefore, the r-intercept can be found by substituting the value of m and solving for r, which gives r = -32/(9/5).