The temperature on a particular day started at –13°F. It rose steadily by 3° each hour. The function y = –13 + 3x models the temperature, where x is the number of hours and y is the temperature. Graph the equation.

please give me the answer ive been working on this for 3 hours and I cannot figure it out please help me I want to die

Respuesta :

The function you're given is in point-slope format, which is one of the easiest ones to graph. The basic form of the format is;

y=ax+b

Where a is the slope and b is the y-intercept.

As you can see, in y=-13+3x, the positions of a and b are switched, but it is essentially the same question.

From here we can tell that the y-intercept is -13, meaning that there is a point on the line that rests at (0,-13)

To find the other points, we can do rise-over-run using the slope of 3 given to us. What happens here is that for every 1 unit you go to the right (positive), you rise 3 units up.

For example, if we perform this on the y-intercept (0,-13):

(0+1, -13+3)
(1,-10)

With these two points, you can graph the line representing the temperature.