Respuesta :
Answer:
y = 2x + 2
Step-by-step explanation:
Start at point (2, 6).
Go up 2 units up (rise = 2) and 1 unit right (run = 1). Now you are at point (3, 8) which is on the graph.
slope = rise/run = 2/1 = 2
The slope of the graph is 2. m = 2
Now look at point (0, 2). The y-intercept is 2. b = 2
The equation is
y = mx + b
y = 2x + 2
Answer:
y = 2x + 2
Step-by-step explanation:
Here we're asked to come up with a linear function relating x and y.
First we find the slope of the line. As we move from (0, 2) to (3, 8), x increases by 3 and y by 6. Thus, the slope is
m = rise / run = 6 / 3 = 2.
Plugging givens into the slope-intercept formula y = mx + b, we find b:
2 = 2(0) + b, so that b = 2.
Then the desired relationship between x and y is y = 2x + 2.