Answer:
(a) Slope and y-intercept; (b) y = mx; (c) y = x + b
Step-by-step explanation:
1. Need to know
Slope and y-intercept.
You use these numbers to calculate one other point. Then you draw a straight line between the y-intercept and the other point to get the graph.
2. y-Intercept = 0
The form of the equation is y = mx + b, where b is the y-intercept.
If the intercept is zero, b = 0, and the equation has the form
y = mx
The graph is a straight line passing through the origin.
3. Slope = 1
m represents the slope. If m = 1, the equation has the form
y = x + b
If the axes are scaled equally, the graph is a straight line that crosses the y-intercept at an angle of 45°.
I think 33.3% that he Chooses that
Using the point slope form y - y1 = m(x-x1)
m is the slope, because the lines are parallel the slope is identical, so m = -2.
Replace x1 and y1 with the given point and then solve for y:
y - 1 = -2(x-4)
Simplify:
y - 1 = -2x + 8
Add 1 to both sides:
y = -2x +9
Answer:
y=2(4^x)
Step-by-step explanation:
if you notice, all the y-values are multiplied by 4 for each x-value. this means 4 is raised to the power of x. however, when you plug this in, you realize that the value produced is only half the actual y-values, so you multiply this whole thing by 2.
y=2(4^x)
