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FromTheMoon [43]
3 years ago
11

What is an equation of the line that passes through the points ( −4 , − 6 ) and (4,4)?

Mathematics
2 answers:
kherson [118]3 years ago
4 0

Answer:

y=5/4x-1

Step-by-step explanation:

-6-4/-4-4 = -10/-8 = 5/4 (slope)

y=5/4x+b

4=5/4(4)+b

b=-1

y=5/4x-1

spin [16.1K]3 years ago
4 0

Answer:

y = \frac{5}{4} x -1

Step-by-step explanation:

Find the slope of this line by using the slope formula: \frac{y_2-y_1}{x_2-x_1}. Substitute both given points into this formula.

\frac{(-6)-(4)}{(-4)-(4)} \rightarrow\frac{-10}{-8} \rightarrow\frac{-5}{-4} =\frac{5}{4}

The slope of the line is 5/4. Now this can be plugged into point-slope form since we have the point and the slope of the line.

Use any pair of given points, I'll be using (4,4).

Point-slope form: y-y_1=m(x-x_1)

Substitute 4 for x_1, 4 for y_1, and 5/4 for m.

y-(4)=\frac{5}{4} (x-(4))

Simplify this equation.

y-4=\frac{5}{4} (x-4)\rightarrow y-4=\frac{5}{4} x-5\rightarrow y = \frac{5}{4} x -1

The equation in slope-intercept form of the line is y = \frac{5}{4} x -1.

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