Instructions: Find the slope between the two points given. Then, use the slope and Point One to write the equation of the line in Point-Slope form. State the slope.Point One: (4,5)(4,5)Point Two: (−3,3)(−3,3)Equation: Slope: Point:
Question
Instructions: Find the slope between the two points given. Then, use the slope and Point One to write the equation of the line in Point-Slope form. State the slope.Point One: (4,5)(4,5)Point Two: (−3,3)(−3,3)Equation: Slope: Point:
Solution 1
The slope between two points (x1, y1) and (x2, y2) is given by the formula:
m = (y2 - y1) / (x2 - x1)
Here, Point One is (4,5) and Point Two is (-3,3). So, substituting these values into the formula, we get:
m = (3 - 5) / (-3 - 4) = -2 / -7 = 2/7
So, the slope (m) is 2/7.
The point-slope form of the equation of a line is given by:
y - y1 = m(x - x1)
Substituting the slope we found and the coordinates of Point One into this equation, we get:
y - 5 = 2/7(x - 4)
So, the equation of the line in point-slope form is y - 5 = 2/7(x - 4).
The slope is 2/7.
Solution 2
The slope (m) between two points can be found using the formula m = (y2 - y1) / (x2 - x1).
Given Point One (x1, y1) = (4, 5) and Point Two (x2, y2) = (-3, 3), we can substitute these values into the formula:
m = (3 - 5) / (-3 - 4) = -2 / -7 = 2/7
So, the slope of the line is 2/7.
The point-slope form of a line is given by the formula y - y1 = m(x - x1).
Substituting the given point (4,5) and the calculated slope into this formula, we get:
y - 5 = 2/7(x - 4)
So, the equation of the line in point-slope form is y - 5 = 2/7(x - 4).
The slope is 2/7.
Similar Questions
Instructions: Find the slope between the two points given. Then, use the slope and one of the points to write the equation of the line in Slope-Intercept form. State the slope and y𝑦-intercept.(−1,−3)(−1,−3) and (−2,−5)
Instructions: Find the slope between the two points given. Then, use the slope and point ONE to write the equation of the line in Point-Slope form. State the slope.Point One: (1,2)(1,2)Point Two: (0,−1)
Instructions: Write the equation of the line in Point-Slope Form given the information below. Use Point One as the given point in your equation.Point One =(−3,3)=(−3,3)Point Two =(−2,−1)=(−2,−1)Point-Slope Form:
Write the point-slope form of the equation of the line that passes through the points (-3, 5) and (-1, 4). Include your work in your final answer.
Instructions: Find the slope between the two points given. Then, use the slope and one of the points to write the equation of the line in Slope-Intercept form. State the slope and y𝑦-intercept.(3,0)(3,0) and (4,4)(4,4)Equation: Slope: y𝑦-Intercept:
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