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A line passes through the points (0,0) and (4,4). What is the equation of the line?
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A line passes through the points (0,0) and (4,4). What is the equation of the line?
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Mathematics
5 years
2021-07-22T10:37:15+00:00
2021-07-22T10:37:15+00:00 1 Answers
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Answer:
y = x
Step-by-step explanation:
So what we’re going to want to do here is use the slope formula and the general equation y = mx + b.
Let’s start.
The slope formula is y2-y1/x2-x1. So, put our points in here. 4-0/4-0. Slope: 1.
Okay, we have that. Now, a line that passes through the origin (0,0) is not going to have a y-intercept because it hits the y-axis at 0. So, that cancels out the b.
With our slope 1, the answer is just y = x. Very simple equation.
Hope this helped!