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3 years ago

What is 3x-2 if x=-1/3

Mathematics

1 answer:

Mama L [17]3 years ago

7 0

Givens

x = - 1/3

y = 3x - 2

Problem solve for y

y = 3(-1/3) - 2

but 3 * (1/3) = 1

and 3 * (- 1/3) = - 1

So y = -1 - 2

y = - 3

Think of this as a money question. If you are one dollar in the whole and you spend 2 more, you are not 3 in the whole which is minus 3.

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State the equation of the line described.

nikdorinn [45]

Answer:

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes. This means that when you multiply the slopes of the perpendicular lines, its product = -1.

Given the linear equation, y = -9x - 1, and the point, (-3, 7):

Since the slope of the given linear equation is: m1 = -9, then it means that the slope of the other line (m2) = 1/9:

m1 × m2 = -1

-9 × 1/9 = -1

Next, we need to find the y-intercept of the other line. The y-intercept is the point on the line where it crosses the y-axis, and has coordinates (0, <em>b</em>). It is also the value of the y-coordinate when its corresponding x-coordinate = 0.

Using the given point, (-3, 7), and the slope of the other line, m2 = 1/9:

We need to substitute these values into the slope-intercept form, y = mx + b, to solve for the y-intercept, (b):

y = mx + b

7 = 1/9(-3) + b

7 = -1/3 + b

Add 1/3 to both sides of the equation to solve for b:

7 + 1/3 = 1/3 -1/3 + b

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Therefore, the y-intercept (b) = 22/3.

The linear equation of the other line is: y = 1/9x + 22/3

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