Draw quick picture to help you solve write the sum

8) through: (-3, -2), perp. to y = x – 1 A) y=-5x – 1 B) y=-4x – 5 C) y=-x – 5 D) y=-5x – 4

nexus9112 [7]

Answer:

The equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.

Solution:

Given, line equation is y = x – 1 ⇒ x – y – 1 = 0. And a point is (-3, -2)

We have to find the line equation which is perpendicular to above given line and passing through the given point.

Now, let us find the slope of the given line equation.

$\text { Slope }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-1}{-1}=1$

We know that, product of slopes of perpendicular lines is -1.

So, 1 $\times$ slope of perpendicular line = -1

slope of perpendicular line = -1

Now let us write point slope form for our required line.

$\mathrm{y}-\mathrm{y}_{1}=\mathrm{m}\left(\mathrm{x}-\mathrm{x}_{1}\right)$

y – (-2) = -1(x – (-3))

y + 2 = -1(x + 3)

y + 2 = -x – 3

x + y + 2 + 3 = 0

x + y + 5 = 0

y = -x -5

Hence the equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.

8 0

3 years ago

What the slope formula represents

Anna [14]

The slope formula is y=mx+b. Y is a variable. m is the actual slope. It tells you how much the x will move. For example, if a slope was 2x, x would move up 2 and over 1. If the slope was 1/2 x, x would move up 1 and over 2. A way to remember slope is rise over run. X is a variable. B is a point on the y-intercept that is will the line will start. An example is y=x+3. The y-intercept is 3 and x would move up one and over one.

4 0

3 years ago

Read 2 more answers

Write an equation that represents the line. Use exact numbers.

Greeley [361]

Answer:

Step-by-step explanation:

it is hard to know exactly by eye balling the graph I can't dissern the y intercept it might be 4.5 but it could be 4.33, but it looks for sure like the x intercept equals 6 but does it

the dots on the line are at (-2, -6) and (2, 3) so we can find the slope m

in the y = mx + b line equation b is the y intercept

m = Δy/Δx = (y1 - y2) / (x1 - x2)

= (-6 - -3) / (-2 - 2)

= -3 / -4

m = 3/4

y = 3x/4 + y intercept which i can't dissern (read directly from the

graph, but we believe y = 0 when x is six

0 = 3(6)/4 + y intercept

-18/4 = 18/4 -18/4 + y intercept

-9/2 = y intercept

-4.5 = y intercept

y = 3x/4 - 9/2 i think exact number means NO FRACTIONS but that is whole number so let me gaggle it What are exact numbers? Gaggle indicates exact numbers are integers example 3 ft in a yard 12 eggs in a dozen

y = 3x/4 - 9/2 multiple both sides by 4

4y = 3x - 36/2

4y = 3x - 18 <------------------ FINAL ANSWER

7 0

3 years ago

I will give you 100 points HELp

Naddika [18.5K]

Answer:

CD ≈ 26.0 cm

Step-by-step explanation:

using the sine ratio in right triangle ABD

sin35° = $\frac{opposite}{hypotenuse}$ = $\frac{AB}{BD}$ = $\frac{12}{BD}$ ( multiply both sides by BD )