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2 years ago

Solve y = -1/2x + 6 create an equation of a line parallel and perpendicular to this line that goes

Mathematics

1 answer:

SCORPION-xisa [38]2 years ago

6 0

Answer:

y = -½x + 12; y = 2x + 2

Step-by-step explanation:

1. Solve the equation

y = -½x + 6

(a) Let x = 0

y = -½(0) + 6

y = 0 + 6

y = 6

(b) Let y = 0

0 = -½x + 6 Subtract 6 from each side

-6 = -½x Multiply each side by -2

x = 12

The line passes through the points (0, 6) and (12, 0).

2. Equation for parallel line

The line passes through (4, 10).

y = mx + b

m = -½

10 = -½(4) + b

10 = -2 + b Add 1 to each side

b = 12

The equation for the parallel line is y = -½x + 12.

3. Equation for perpendicular line

(a). Find the slope (m₁) of the original line

The equation for the original line is

y = -½x + 6

slope = m₁ = -½

(b). Find the slope (m₂) of the perpendicular line

m₂ = -1/m₁ Substitute the value of m₁

m₂ = 2

(c). Find the equation for the perpendicular line

y = mx + b Substitute the value of m₂

y = 2x + b

The line passes through (4,10).

10 = 2 × 4 + b

10 = 8 + b Subtract 8 from each side

b = 2

y = 2x + 2

In the image, below, the red line is the graph of your original equation.

The green line passing through (4, 10) is the parallel line.

The black line passing through (4, 10) is the perpendicular line.

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7 0

2 years ago

In the formula I=prt, what is the value of t

maxonik [38]

You divide both sides by pr to get t on one side.
1=prt
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So the answer is one as the numerator and pr as the denominator
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3 years ago

Read 2 more answers

Write the equation of the line that passes through the points (7,-6) and (0,2). Put

Alex

Answer:

$y+6=\frac{-8}{7} (x-7)$

Step-by-step explanation:

To find the slope of the equation use $\frac{y_2-y_1}{x_2-x_1}$ .

So, $\frac{-6-2}{7-0}$ = $\frac{-8}{7}$ . Now we can use our slope and any of the two points to write in point-slope form, which is $y-y_1=m(x-x_1)$ . Using the point (7,-6), the formula will give $y+6=\frac{-8}{7} (x-7)$ .