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Lapatulllka [165]
3 years ago
15

Write a linear equation that goes through the points (0,4) and (4,10). A. y =3⁄2x + 4 B. y =3⁄2x – 4 C. y =2⁄3x – 4 D. y =2⁄3x +

4
Mathematics
1 answer:
Elena L [17]3 years ago
4 0

Answer:

A

Step-by-step explanation:

To write the equation, find the slope of the line using the two points. Find the difference in y values over the difference in x values.

\frac{y_2-y_1}{x_2-x_1} = \frac{10-4}{4-0}=\frac{6}{4}=\frac{3}{2}

Write the equation using the slope m=3/2 and the point slope form.

y-y_1=m(x-x_1)\\y-10=\frac{3}{2}(x-4)

This is the equation of the line. You can convert it to slope intercept form:

y-10=\frac{3}{2}(x-4)\\y-10 = \frac{3}{2}x - 6\\y=\frac{3}{2}x +4

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