Select the correct slope, m, and y-intercept, b, values below to fill in the slope-intercept equation: y = Response area x+

Step-by-step explanation: To write a linear equation for the given linear function, we need to determine the slope, denoted as "m," and the y-intercept, denoted as "b." The slope-intercept form of a linear equation is given by y = mx + b, where "m" represents the slope and "b" represents the y-intercept. To find the slope, we can choose any two points from the graph and use the formula: m = (change in y) / (change in x) Let's choose the points (1, 2) and (7, 8) from the graph. The change in y is 8 - 2 = 6, and the change in x is 7 - 1 = 6. Therefore, the slope is 6/6 = 1. Now, let's find the y-intercept. The y-intercept is the value of y when x is equal to 0. By looking at the graph, we can see that the y-intercept is 4. So, the linear equation for the given graph is y = 1x + 4 or simply y = x + 4.

missnevaehlynne missnevaehlynne · Answer 2 · 2024-01-19T18:55:28+01:00

Answer: y = -1/2x + 16

Step-by-step explanation:

Slope intercept form is written as y = mx + b where m is the slope and b is the y intercept.

To find slope using a graph you can record the rise over the run. Looking at the graph, the line rises -2 per every 4 on the x axis. So rise/run (or slope) is -2/4. Simplified, the slope is -1/2.

As for the y intercept, look for where the line crosses the y-axis. In this case, the y intercept is 16.

So your equation can be written as y = -1/2x + 16