Solve: 6x + 10 = 4x -8. Determine how many solutions? (exactly one, infinitely many, no solution)
1 answer:
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For this case we have that by definition, the equation of a line of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
While the point-slope equation of a line is given by:
Where:
m: It's the slope
It is a point through which the line passes
In this case we have a line through:
(8,4) and (0,2)
Therefore, its slope is:
Its point-slope equation is:
Then, we manipulate the expression to find the equation of the slope-intersection form:
Therefore, the cut-off point with the y-axis is
ANswer:
Answer:
(See explanation below for further details).
Step-by-step explanation:
Let be a parametric curve represented by and
, where
is the parametric variable.
The curve is represented graphically with the help of a graphing tool, whose outcome is included in the image attached below. The corresponding rectangular equation is found by eliminating t of each equation.
and
The parametric equations represents a linear function (first-order polynomial).
