Find the equation of the line passing through the points A (2,1) B (7,9)
1 answer:
y - y₁ = m(x - x₁)
y - 1 = 1³/₅(x - 2) Point - Slope Form
y - 1 = 1³/₅(x) - 1³/₅(2)
y - 1 = 1³/₅x - 3¹/₅
+ 1 + 1
y = 1³/₅x - 2¹/₅ Slope - Intercept Form
-1³/₅x - y = 1³/₅x - 1³/₅x - 2¹/₅
-1³/₅x - y = -2¹/₅
-1(-1³/₅x - y) = -1(-2¹/₅)
-1(-1³/₅x) + 1(y) = 2¹/₅
1³/₅x - y = 2¹/₅ Standard Form
1³/₅(0) - y = 2¹/₅
0 - y = 2¹/₅
-y = 2¹/₅
-1 -1
y = -2¹/₅ Y - Intercept
(x, y) = (0, -2¹/₅)
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Answer:
A
Step-by-step explanation:
Lets first solve the relation for "y". Shown below:
This is clearly an equation of a line in the form
It will be a negatively sloped line, when graphed.
We can use vertical line test to determine function or relation. If a vertical line passes through only 1 point in the graph, we say that it is a function.
Think of a negatively sloped line. No matter where you draw a vertical line, it will only cut the line at 1 point.
So, this is definitely an equation of a function
Correct answer is A