Question
What is the equation of the line that passes through the point left bracket, 3, comma, 5, right bracket(3,5) and has a slope of 2?
Answers
GPT 3.5
The equation of a line can be represented in slope-intercept form, which is given by:
y = mx + b
where m is the slope and b is the y-intercept.
Given that the line passes through the point (3,5) and has a slope of 2, we can substitute these values into the equation.
5 = 2(3) + b
Simplifying the equation:
5 = 6 + b
Subtracting 6 from both sides:
-1 = b
Now we have the y-intercept (b = -1), we can write the equation of the line:
y = 2x - 1
y = mx + b
where m is the slope and b is the y-intercept.
Given that the line passes through the point (3,5) and has a slope of 2, we can substitute these values into the equation.
5 = 2(3) + b
Simplifying the equation:
5 = 6 + b
Subtracting 6 from both sides:
-1 = b
Now we have the y-intercept (b = -1), we can write the equation of the line:
y = 2x - 1