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Write an equation of the line in slope-intercept form. JY 1 (3, 3) (0, 2) 2 4
y=​

Write an equation of the line in slope-intercept form. JY 1 (3, 3) (0, 2) 2 4 y=​-example-1
User Peon
by
6.8k points

1 Answer

7 votes

Correct answer: y =
(1)/(3)x + 2

To find out the slope, you would need to remember this slope formula:
(y_(2)-y_(1))/(x_(2)-x_(1)). We can use the two points provided on the graph to figure out the slope. We can label (3, 3) as
x_(1) and
y_(1), and (0, 2) as
x_(2) and
y_(2). Now we can plug these numbers into the slope formula to find out the slope:

m =
(y_(2)-y_(1))/(x_(2)-x_(1))
(2-3)/(0-3)
(-1)/(-3)
(1)/(3)

To find out the y-intercept, just substitute (3, 3) into the slope-intercept formula ( y = mx + b ) with the slope that is substituted for 'm' that we already solved earlier.

y = mx + b

(3) =
(1)/(3)(3) + b

3 = 1 + b

2 = b

You can also prove this true by looking at the graph provided. The line intersects at the y-axis at 2.

Now we know that m =
(1)/(3) and b = 2, we can substitute it into the slope-intercept formula. Thus, the answer is y =
(1)/(3)x + 2.

Hope this helps you! Let me know if you have any more questions related to this problem.

User NuLo
by
8.4k points
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