Respuesta :
f(x) = -2x + 5 is the slope intercept form for the given linear function.
Slope: Slope of a line is the ratio of change in the y factor to the change in x factor.
y-intercept: It the point where the line crosses the y-axis.
The slope intercept form is:
f(x) = Mx + B
Slope, M = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
where,
M = -2 (slope of the graph)
B = 5 (y-intercept in the graph)
The graph of the equation f(x) = -2x + 5 has a negative slope which has a value of -2 means it is decreasing at a constant rate of -2.
The line in the graph has 5 as its y-intercept.
The given linear function has been reflected across the x-axis (multiplied by -1), vertically stretched by a factor of 2 (multiplied by 2), and vertically translated up 5 units (5 added to it).
Therefore, the slope-intercept form of the given linear function is
f(x) = -2x + 5.
For slope intercept form question, visit:
https://brainly.com/question/22057368
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