First, Use the slope equation to find the slope of the line passing thru these two points:

m=rise/run

Here, the rise is 13-3, or 10, and the run is 7-2, or 5. Thus, the slope, m, is 10/5, or 2: m=2.

We want the slope-intercept form, so let's begin with its general form:

y=mx+b. Substitute the slope 2 for m: y=2x+b. Now choose either of the given points. Arbitrarily I am choosing (2,3). Then x=2 and y=3.

Substituting these values into y=2x+b: 3 = 2(2) + b, or b= 3 -4, or b = -1.

Then the equation of this line, in slope-intercept form, is y = 2x - 1.

8 0

3 years ago

Find the values of the six trigonometric functions of 0

Oxana [17]

Ring ding ding ding ding ding ding ding it’s 4/5

7 0

4 years ago

What is the image of the point (3,2)(3,2) after a rotation of 90^{\circ}90 ∘ counterclockwise about the origin?

BARSIC [14]

Answer: = (-2,3)

Step-by-step explanation:

Rotation is a transformation of a figure by rotating it for a specific angle about a fixed point.

Here, fixed point = origin = (0,0)

Transformation rule for rotation of $90^{\circ}$ counterclockwise about the origin:

$(x,y)\to (-y,x)$

Then, the image of the point (3,2) = (-2,3)

Hence, the image of the point (3,2) after a rotation of $90^{\circ}$ counterclockwise about the origin = (-2,3)

4 0

3 years ago

Suppose y is a positive integer.If x-(-y)=z will z be greater than x ?

alexira [117]

Answer:

Yes, z will be greater than x.

Step-by-step explanation:

Given expression is $x- (-y)=z \ for \ y \ is \ a \ positive \ integer.$

now let y = 2 and x = 1

Then, $x- (-y)=z \\1+2 = 3 \\\\$

where $z> x$ i.e. 3 > 1

on simplifying the given expression in terms of y

$y=z-x$

now suppose if x = 7 and z=3 then,

$y = (z-x) = (3-7) = (-4)$

which gives value of y in terms of negative integer which is not possible according to the given statement since y is a positive integer. Therefore, if y is a positive integer then z will be greater than x.

3 0

3 years ago

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