Julio, Amari, and Henry take turns unloading a trailer holding 240 cases of soda. First, Julio unloads 15 of all the cases. Next
2 answers:
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Answer:
Second option: One solution. Independent.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
Since the equations of the system have this form, we know that they are lines.
We can identify that the y-intercept of the first equation is:
Now we need to find the x-intercept. Substitute and solve for "x":
Then, we can graph the first line which passess through the points (0,1) and (0.2,0). Observe the graph attached.
The y-intercept of the second equation is:
Now we need to find the x-intercept. Substitute and solve for "x":
Then, we can graph the second line, which passess through the points (0,-2) and (-1,0).
You can observe in the graph that the lines intersect at the point (1,-4). Therefore, that point is the solution of the system of equations.
Since the lines intersect, then there is one solution that is true for both equations. It is independent
Point-slope form of equation is:
Step-by-step explanation:
Given points are:
(2,-8) and (1,7)
First of all we have to calculate the slope of the line
so,
Point-slope form is given by:
Putting the value of slope
We can put any one of two given points in the equation to find the final form of point-slope form
So
Putting (1,7) in the equation
Hence, point-slope form of equation is:
Reducing and simplifying
Keywords: Point-slope form, equation of line
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