Answer:
y = -x/3 + 5
Step-by-step explanation:
Lets start by finding the slope between the two points. By using the equation:
m = (y2 - y1)/(x2 - x1),
we get that m = -1/3, or that the slope between the two points is -1/3.
Now we can use point-slope form to create the linear equation, but we are given the point (0,5), which tells us that the line will intersect the y-axis at y = 5, or that the y-intercept of the line will be 5. So we can use the slope intercept form to create a linear equation. Remember that the slope intercept form is:
y = mx + b
where b is the y-intercept and m is the slope. Now by plugging everything in, we get the equation:
y = -x/3 + 5
I hope you find this helpful. Happy studying. :)
