Answer:
y = 2x + 5
Step-by-step explanation:
To find the slope given a table of x and y coordinates, you use the point-slope formula, which is y2 - y1 divided by x2 - x1. It's generally easier if you find a slope that doesn't have negative numbers involved.
In this case, you take the last two sets of ordered pairs (4,13) and (2,9) and plug those into the formula.
(13-9) / (4-2)
This gives you 4 / 2, which can be reduced to 2. So that means your slope is 2. This number represents the m variable in the slope-intercept equation.
Next, take the slope-intercept equation (y=mx+b) and plug in your slope value, and use one of the ordered pairs to discover the y-intercept (value b).
In this case, we'll pick the ordered pair of (4, 13) - x=4, y=13
the equation would be: 13 = 2(4) + b
13 = 8 + b
b = 5
Now that you have the slope (m) and y-intercept (b), you can write the equation as y = 2x + 5
Hope this helps!
