Answer:
The slope is 2/3 and the function is y=2/3x which is a direct variation function.
Step-by-step explanation:
To find the slope of a line between two points, we use the equation
m = (y2-y1)/ (x2-x1)
where (x1,y1) and (x2,y2) are the two points
m= (4-2)/(6-3)
= 2/3
The slope of the line is 2/3
The equation of the line is
y-y1 = m(x-x1)
y-2 = 2/3(x-3)
Distribute
y-2 = 2/3x -2
Add 2 to each side
y-2+2 = 2/3x -2+2
y = 2/3x
This is a direct variation function
Let x = -6
y = 2/3(-6)
y = -4
(-6,-4)
let's recall that an equilateral triangle has all interior angles of 60°.
Check the picture below.
so as you can see, 2√3 = x = r, namely the radius of the circle.

Answer:
x = 18
Step-by-step explanation:
The sum of the angles in a quadrilateral is 360
2x + 3x + 7x + 8x = 360
Combine like terms
20x = 360
Divide both sides by 20
x = 18
Answer:4D+20
Step-by-step explanation:
Simplified by grouping the D’s and and 5’s
The equation in slope-intercept form is:
y=4x-23
Step-by-step explanation:
The given equation is:

The given equation is in point-slope form. we have to convert it to the slope-intercept form.
the slope intercept form is:

So,

Subtracting 3 from both sides

The equation in slope-intercept form is:
y=4x-23
Keywords: Point-slope form slope-intercept form
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