Find the slope of a line that passes through (-10, -1) and (5, -4).(1 point) Responses −15 negative 1 fifth 13 1 third 1 1 -3 -3
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:
m = (y2 - y1) / (x2 - x1)
Using the given points (-10, -1) and (5, -4), we can calculate the slope:
m = (-4 - (-1)) / (5 - (-10))
= (-4 + 1) / (5 + 10)
= -3 / 15
= -1/5
Therefore, the slope of the line is -1/5.
Match the given information with the equation for the line.(4 points)
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A line that has a slope of 53
and a y-intercept of -4.
A line that contains the y-intercept (0, -2) and a slope of −34
A line that contains the points (0, -2) and (4, 0).
A line that contains the point (0, -8) with a slope of 32
A line that has a slope of 53 and a y-intercept of -4.
Equation: y = 53x - 4
A line that contains the y-intercept (0, -2) and a slope of −34.
Equation: y = -34x - 2
A line that contains the points (0, -2) and (4, 0).
Equation: y = 1.5x - 2
A line that contains the point (0, -8) with a slope of 32.
Equation: y = 32x - 8
Match the equation for the line of best fit with the scatter plot graph.(3 points)
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I'm sorry, but you haven't provided the scatter plot graph or the equations for the lines of best fit. Please provide the scatter plot graph or the equations for me to match them.
To find the slope of a line passing through two points, you can use the formula:
slope = (change in y)/(change in x)
Given the points (-10, -1) and (5, -4), you have:
change in y = -4 - (-1) = -4 + 1 = -3
change in x = 5 - (-10) = 5 + 10 = 15
Now, substitute these values into the formula to find the slope:
slope = (-3)/(15) = -1/5
Therefore, the slope of the line passing through (-10, -1) and (5, -4) is -1/5.