Answer:
The equation of the line is y = 3/2x + 5/2
Step-by-step explanation:
To find the equation of this line, start by using the two points with the slope formula to find the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (4 - 1)/(1 - -1)
m = 3/(1 + 1)
m = 3/2
Now that we have the slope, we can use that and either point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 4 = 3/2(x - 1)
y - 4 = 3/2x - 3/2
y = 3/2x + 5/2
Answer:
Slope = 3
Y Intercept = 3
Step-by-step explanation:
3x - y = 3
(subtract 3x from both sides - we have to get y by itself)
-y = -3x - 3
(divide by -1 from both side - we need to make y positive)
y = 3x + 3
Answer:
204 cm
Step-by-step explanation:
Triangle area = base × height ÷ 2
6×4÷2=12
Rectangle area = side 1 × side 2
6×10=60
5×10=50
There are 2 triangles, so make 12×2=24, 24 is the surface area of the triangles.
There are 2 rectangles with 5 in one side, so make 50×2=100 of area of this 2 rectangles
Now just sum the areas:
100+24+60= 204
Answer:
A. Function 1
Step-by-step explanation:
The slope of Function 2 can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-8 -(-2))/(3 -0) = -6/3
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The slope of function 1 can be found by comparing the equation to the slope-intercept equation for a line:
y = mx + b . . . . . . equation with slope m and y-intercept b
The slope of Function 1 is -7/3.
-7/3 is more negative than -6/3, so Function 1 has the more negative slope.