The graph of a linear function is shown on the coordinate grid below. What are the slope and y-intercept of the linear function shown in the grid?

A) Slope = –0.4, y-intercept = –5
B) Slope = 2.5, y-intercept = –5
C) Slope = –2.5, y-intercept = 2
D) Slope = 0.4, y-intercept = 2

B) Slope = 2.5, y-intercept = –5

Step-by-step explanation:

Given the following points on the grid, (-1.5, -8.75) and (3.5, 3.75), the slope can be calculated as follows using the formula,

Let,

Slope = 2.5.

The y-intercept is the point at which the line intercepts the y-axis. On the graph, the line intercepts the y-axis at y = -5. Therefore, the y-intercept = -5.

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option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have