Write the equation of a line in slope intercept form that contains the points (2,4) and (4,12)
2 answers:
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Answer:
The graph is attached.
- The meaning of the x-intercept is: <em>The number of muffins she made by using all of teaspoons of chocolate chips</em>
- The meaning of the y-intercept: <em>The number of teaspoons of chocolate chips she had before she made any muffin.</em>
Step-by-step explanation:
Given the equation of the line:
We need to find the x-intercept and the y-intercept.
To find the x-intercept, we must substitute into the equation and solve for "x":
To find the x-intercept, we can substitute into the equation and evaluate:
Now we know that the line passes through these points:
Then we can graph the equation.
The graph is attached.
Then, analizing the graph, we can conclude that:
- The meaning of the x-intercept is: <em>The number of muffins she made by using all the teaspoons of chocolate chips.</em>
- The meaning of the y-intercept: <em>The number of teaspoons of chocolate chips she had before she made any muffin.</em>
The slope of the line shown in the figure having equation x + 2y = 0 is 1/2.
The point A is at ( -2 , 1 ), point B is at ( -4 , 2 ) and Point C is at ( -2 , 2 ).
Let point D be at ( -4 , 1 ).
Now the new triangle is ΔBDA and the corner points are A is at ( -2 , 1 ), point B is at ( -4 , 2 ) and point D is at ( -4 , 1 ).
The equation of line passing through two points is given by:
The equation of line passing through two points A( -2 , 1 ) and B( -4 , 2 ) IS
y - 1 = ((2-1)/(-4-(-2))) (x-(-2))
y - 1 = (1/(-2)) (x+2)
2y -2 = -x -2
x + 2y = 0
The equation of straight line is x + 2y = 0
The equation in slope intercept form can be written as,
y = x/2 + 0
Slope = m = 1/2
Intercept = c = 0
So, we can conclude that 1/2 is the slope of the line .
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