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Andrew [12]
3 years ago
9

Which parent function is represented by the graph?

Mathematics
1 answer:
sattari [20]3 years ago
3 0

Answer:

D. The linear parent function

Step-by-step explanation:

Linear functions are always characterized by a straight line graph with or without an intercept on the vertical or horizontal axis. A linear function usually has an independent variable and a dependent variable. The independent variable is commonly depicted as x while the dependent variable is y.

Thus a linear equation is an equation of the type y=ax where a is a constant term. The equation of a straight line graph his y=mx +c, where;

m= gradient of the straight line graph

x= the independent variable

y= the dependent variable

c= the vertical intercept

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Answer (<u>assuming it can be in slope-intercept form)</u>:

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Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula m = \frac{y_2-y_1 }{x_2-x_1} and substitute the x and y values of two points on the line into it. We can see that the line passes through (0,0) and (5,4), so let's use those points for the formula and solve:

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So, the slope is \frac{4}{5}.

2) Next, identify the y-intercept of the line. The y-intercept is the point at which the line intersects the y-axis. We can see that the line intersects the y-axis at (0,0), so that must be the y-intercept.

3) Now, write the equation of the line in slope-intercept form using the y = mx + b format. The number in place of m represents the slope, so substitute \frac{4}{5} in its place. The number in place of b represents the y-intercept, so substitute 0 in its place. This gives the following answer and equation:

y =\frac{4}{5} x+0\\y = \frac{4}{5} x

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