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velikii [3]
3 years ago
15

PLEASE ANSWER

Mathematics
1 answer:
djyliett [7]3 years ago
7 0

The approximate equation in slope intercept form is y = 3x + 2.

Solution:

Let us take (0, 2) and (1, 5) on the graph.

x_1=0, y_1=2, x_2=1, y_2=5

Equation of the line in slope-intercept form:

y = mx + b

where m is the slope of the line and b is the y-intercept of the line.

Slope of the line:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

$m=\frac{5-2}{1-0}

$m=\frac{3}{1}

m = 3

y-intercept of the line is the value of y when x = 0.

Here the value of y is 2 when x = 0. That is (0, 2) is the point of y-intercept.

Therefore b = 2.

y = 3x + 2

Hence the approximate equation in slope intercept form is y = 3x + 2.

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