Final answer:
The slope of the linear function is 1, and the y-intercept is -4.
Step-by-step explanation:
To find the slope and y-intercept of a linear function, you need two points on the line. Let's use the points (0, -4) and (4, 0) from the given information.
To find the slope, you can use the formula: slope = (y2 - y1) / (x2 - x1). In this case, the coordinates are (x1, y1) = (0, -4) and (x2, y2) = (4, 0). Plugging in these values, we get slope = (0 - (-4)) / (4 - 0) = 4 / 4 = 1.
Next, to find the y-intercept, you can use the formula y = mx + b, where m is the slope and b is the y-intercept. From the equation of the line, we have y = 1x + b. Plugging in the values for x and y from one of the given points (e.g., (0, -4)), we get -4 = 1(0) + b. This simplifies to -4 = b. So the y-intercept is -4.