Verified Answer :

olumideolawoyin

Answer:

A. - 0.25

Step-by-step explanation:

From the graph,

The coordinates of the given points are:

(-3, 3) {3 boxes from the origin to the point on the negative x - axis and 3 boxes trace up to the positive y- axis}, (1,2) { 1 box from the origin to the second point on the positive x- axis and trace up to positive y- axis}.

Let the first point be (x1, y1) = (-3,3) and second point be (x2, y2) = (1,2).

Therefore, the slope of the graph

\(m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }\)

\(= \frac{2 - 3}{1 - ( - 3)} = \frac{ - 1}{1 + 3}\)

\(= - \frac{1}{4}\)

m = -0.25

Hence, the slope of the graph is - 0.25

msm555

Answer:

A. -0.25

Step-by-step explanation:

To find the slope of the line passing through the points \(\sf (-3,3)\) and \(\sf (1,2)\), we'll use the formula for slope:

\(\sf \textsf{Slope} = \dfrac{{\textsf{change in y}}}{{\textsf{change in x}}}\)

Given two points \(\sf (x_1, y_1)\) and \(\sf (x_2, y_2)\), the slope formula can be expressed as:

\(\sf \textsf{Slope} = \dfrac{{y_2 - y_1}}{{x_2 - x_1}}\)

Now, let's substitute the given points into the formula:

\(\sf \textsf{Slope} = \dfrac{{2 - 3}}{{1 - (-3)}}\)

\(\sf \textsf{Slope} = \dfrac{{-1}}{{1 + 3}}\)

\(\sf \textsf{Slope} = \dfrac{{-1}}{{4}}\)

\(\sf \textsf{Slope} = -0.25\)

So, the slope of the line is:

\(\boxed{\sf A) -0.25 }\)

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