Answer:
y=2x-1, answer choice D
Explanation:
Start by calculating the slope. Slope = rise/run = (y2-y1)/(x2-x1).
You were given 2 points, (3,5) and (5,9).
Plug in those points to find the slope.
slope = (5-9)/(3-5)
slope = -4/-2
slope = 2
The slope intercept form is y=mx+b.
So we know the slope is 2.
That makes the equation y=2x+b. We need to find the intercept. So plug in one of the provided points and solve for b. Let's use (3,5).
y=2x+b
5=2*3+b
5=6+b
-1=b
So the y intercept (b) is -1.
That makes the equation y=2x-1.
You can check that the equation is correct by plugging in those points OR graphing it!