Question
A line has slope -4 and passes through the point (3/4, 3). Write an equation of the line.
Answers
GPT 3.5
The equation of a line can be written in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
Given that the slope is -4, we can write the equation as y = -4x + b.
To find the value of b, we substitute the coordinates of the given point (3/4, 3) into the equation:
3 = -4(3/4) + b
3 = -3 + b
Adding 3 to both sides, we get:
b = 3 + 3
b = 6
Therefore, the equation of the line is y = -4x + 6.
Given that the slope is -4, we can write the equation as y = -4x + b.
To find the value of b, we substitute the coordinates of the given point (3/4, 3) into the equation:
3 = -4(3/4) + b
3 = -3 + b
Adding 3 to both sides, we get:
b = 3 + 3
b = 6
Therefore, the equation of the line is y = -4x + 6.