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Sagot :
a) The function that is parallel to the function [tex]y = 0.5\cdot x + 10[/tex] and intercept the function [tex]y = -1.5\cdot x[/tex] is [tex]y = 0.5\cdot x - 6[/tex].
b) The functions that are parallel to the function [tex]y = 0.5\cdot x + 10[/tex] and intercept the function [tex]y = -1.5\cdot x[/tex] are [tex]y = 0.5\cdot x + 4[/tex] and [tex]y = 0.5\cdot x[/tex].
Linear functions are expressions of the following form:
[tex]y = m\cdot x + b[/tex] (1)
Where:
- [tex]x[/tex] - Independent variable.
- [tex]y[/tex] - Dependent variable.
- [tex]m[/tex] - Slope.
- [tex]b[/tex] - y-Intercept.
Two lines are parallel if and only if they have the same slope but distinct intercepts. and two lines intercept each other when they have distinct slopes. Now we proceed to present the solution for each point:
a) The function that is parallel to the function [tex]y = 0.5\cdot x + 10[/tex] and intercept the function [tex]y = -1.5\cdot x[/tex] is [tex]y = 0.5\cdot x - 6[/tex].
b) The functions that are parallel to the function [tex]y = 0.5\cdot x + 10[/tex] and intercept the function [tex]y = -1.5\cdot x[/tex] are [tex]y = 0.5\cdot x + 4[/tex] and [tex]y = 0.5\cdot x[/tex].
To learn more on linear functions, we kindly invite to check this verified question: https://brainly.com/question/14165558
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