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2 years ago

Which linear equation can be used to represent a line perpendicular to Line W passing through point (-3,-2)?

Mathematics

1 answer:

klio [65]2 years ago

3 0

Answer:

D) y = -2

The equation of the perpendicular line to the given line is y = -2

Step-by-step explanation:

Explanation:-

Given point (-3,-2)

In graph the equation of line x = 8 ( parallel to y- axis )

1 x + o y - 8 =0

The equation of the perpendicular line to the given line

b x - a y + k =0

o x - 1 y + k =0 ...(i)

The equation (i) is Paases through the point ( -3,-2)

0 ( -3) -1(-2) + k =0

2 + k =0

k = -2

∴The equation of the perpendicular line to the given line is

put k = -2 in equation (i)

o x - 1 y + k =0

- y +(-2) =0

- y = 2

y = -2

Final answer:-

∴The equation of the perpendicular line to the given line is y =-2

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What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?

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The slope would be 1/4 because to find the perpendicular slope, you find the negative reciprocal

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3 years ago

7. How much 6% solution can you make by diluting 350 mL of a 15% solution

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Answer:

We know that the formula to mix chemical solutions is: C1V1 = C2V2

where C represents the concentration of the solute, and V represents volume in milliliters or ml.

In this case, we have:

0.06V1 = 0.15×350

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3 years ago

What is the linear function equation represented by the graph?

victus00 [196]

The linear function equation is $\boxed{y = \frac{1}{3}x - 4}.$

Further explanation:

The formula for slope of line can be expressed as,

$\boxed{m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}}$

Explanation:

The line intersect $\text{y}$ -axis at $\left( {0,- 4} \right).$

Therefore, the $\text{y}$ -intercept is -4.

The line passes through the points $\left( {0,- 4} \right)$ and $\left( {3,- 3} \right)$ .

The slope can be obtained as follows,

$\begin{aligned}m &= \frac{{- 3 - \left( { - 4} \right)}}{{3 - 0}}\\&= \frac{{ - 3 + 4}}{3}\\&= \frac{1}{3}\\\end{aligned}$

The slope of the line is $\dfrac{1}{3}.$

The slope intercept form of the linear equation is given as follows.

$\boxed{y = mx + k}$

Substitute $\dfrac{1}{3}$ for m and -4 for k in equation $y = mx + k.$

$y = \dfrac{1}{3}x - 4$

The linear function equation is $\boxed{y = \frac{1}{3}x - 4}.$

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: graph function, numbers, slope, slope intercept, equation, linear function, linear equation, y-intercept, graph, representation, origin.

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