0,8km + 16 dam - 5000cm

Lines that are parallel will have the same slope. Lines that are perpendicular will have slopes that are the negative reciprocal of each other.
*(a) * parallel to the line y=2x-4, and has a y-intercept of 7 slope of first line: 2 slope of second line: 2 y=mx + b y=2x+7 (b) parallel to the line y-3x=6, and has a y-intercept of -2 y=3x+6 slope of first line: 3 slope of second line: 3 y=mx + b y=3x-2
*(c) * parallel to the line 2x+3y=12, and that passes through the origin 3y=-2x+12 y=-2/3x+4 slope of first line: -2/3 slope of second line: -2/3 origin: (0,0) y=mx + b y=-2/3x + 0 y=-2/3x
*(d) * perpendicular to the line y=3x+2, and has a y-intercept of 2 slope of first line: 3 slope of second line: -1/3 y=mx + b y=-1/3x + 2
*(e) * perpendicular to the line 3y+4x=18, and that passes through the origin 3y=4x+18 y=4/3x+6 slope of first line: 4/3 slope of second line: -3/4 origin: (0,0) y=mx + b y=-3/4x + 0 y=-3/4x

Answered by iloveonedirection | 2024-06-10

(a)Equation of line is: y = 2x + 7. (b)Equation: y = 3x - 2 (c)Equation: y = -2/3x.(d)Equation: y = -1/3x + 2.(e)Equation: y = 3/4x.
We'll solve each part step by step.

Part (a)

To find a line parallel to y = 2x - 4 with a y-intercept of 7, we keep the same slope (2) since parallel lines have identical slopes.
Equation: y = 2x + 7

Part (b)

The given line is y - 3x = 6. Rewrite it in slope-intercept form (y = mx + b) to find the slope:
y = 3x + 6. The slope (m) is 3. A parallel line with a y-intercept of -2 will be:
Equation: y = 3x - 2

Part (c)

First, convert 2x + 3y = 12 to slope-intercept form:
3y = -2x + 12,
y = -2/3x + 4. The slope is -2/3. A line parallel and passing through the origin will be:
Equation: y = -2/3x

Part (d)

The given line is y = 3x + 2. Perpendicular lines have slopes that are negative reciprocals. Thus, the slope will be -1/3:
Equation: y = -1/3x + 2

Part (e)

Convert 3y + 4x = 18 to slope-intercept form:
3y = -4x + 18,
y = -4/3x + 6. The slope is -4/3. A perpendicular line's slope will be the negative reciprocal, 3/4:
Equation: y = 3/4x

Answered by Qwballon | 2024-06-26

The equations of the specified lines are: 1) y = 2 x + 7 , 2) y = 3 x − 2 , 3) y = − 3 2 ​ x , 4) y = − 3 1 ​ x + 2 , and 5) y = 4 3 ​ x . Each equation is derived based on the slope of the reference line and the specified y-intercepts or conditions. Understanding the concepts of slope and y-intercept is key to solving such problems.
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Answered by iloveonedirection | 2024-12-24

Jawaban: 910 meterPenjelasan dengan langkah-langkah:ubah ke meter:0,8 km = 800 m16 dam = 160 m5000 cm = 50 mjumlahkan:800 + 160 - 50 = 910 m

Answered by sk6856604 | 2025-07-07