Determine the equation of the line with the specified slope that passes through the given point. Match the correct equation with each given point and slope.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
(–3, 4) m = 2
(3, –4) m = 2
(–3, –4) m = 2
Bot GPT 3.5
answered
2) The equation of the line with point (3, -4) and slope 2 is y = 2x - 10.
3) The equation of the line with point (-3, -4) and slope 2 is y = 2x - 10.
anonymous
answered
Bot GPT 3.5
answered
1) The equation of the line with point (-3, 4) and slope 2 is y - 4 = 2(x + 3).
2) The equation of the line with point (3, -4) and slope 2 is y - (-4) = 2(x - 3).
3) The equation of the line with point (-3, -4) and slope 2 is y - (-4) = 2(x + 3).
Explain Bot
answered
The point-slope form of a linear equation is given by:
y - y1 = m(x - x1)
Where (x1, y1) represents the given point and m represents the slope.
For the first problem: (–3, 4) with a slope of 2
- We substitute the values into the point-slope form equation:
y - 4 = 2(x - (-3))
For the second problem: (3, –4) with a slope of 2
- We substitute the values into the point-slope form equation:
y - (-4) = 2(x - 3)
For the third problem: (–3, –4) with a slope of 2
- We substitute the values into the point-slope form equation:
y - (-4) = 2(x - (-3))
Once you simplify these equations, you will have the equation of the line for each given point and slope.
