Any luck with this question ??

Mathematics

2 answers:

sweet-ann [11.9K]3 years ago

4 0

Answer:

It is linear.

Step-by-step explanation:

Check slope for each two sets, (y2-y1)/(x2 - x1), if all of them are the same, then it is linear. In this question the slope is -2, taking the first two as an example (4-8)/(4-2) = -2.

Dennis_Churaev [7]3 years ago

3 0

Linear, decrease by 2 for every decrease of x.

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AleksandrR [38]

Answer:

$y = -\frac{5}{4} x+5$

Step-by-step explanation:

1) First, find the slope of the line by using two points on the graph. We can see that (0,5) and (4,0) are clearly marked on the line, so let's use those points. Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ and substitute the x and y values of those points into it, then simplify:

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2) Now, identify the y-intercept on the graph. The y-intercept is the point at which the line intersects the y-axis. By reading the graph, we can see that the line intersects the y-axis at (0,5), so that must be the y-intercept.

3) Substitute values for $m$ and $b$ in the slope-intercept formula, $y = mx + b$ , to write the equation of the line. Since $m$ represents the slope, substitute $-\frac{5}{4}$ for it. Since $b$ represents the y-intercept, substitute 5 in its place. This gives the following answer and equation in slope-intercept form: