The slope (m) and the y-intercept (b) of a linear equation can easily be determined by writing a linear equation in slope-intercept form, y = mx + b.

The slope of the line is the rise/run, while the y-intercept tells us at what point on the y-axis the line intercepts.

Rewrite 3x + 5y = 12, in slope-intercept form:

5y = - 3x + 12

y = -3/5x + 12/5

The slope of the line of the equation is -3/5 while the y-intercept is 12/5.

Therefore, the graph of the equation, 3x + 5y = 12, is the graph attached in the image below.

Learn more about the graph of a linear equation on:

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5 0

2 years ago

Which expression models this phrase? 27 decreased by the difference of a number and 3 A. (n – 3) – 27 B. 27 – n + 3 C. 27 – (n –

inysia [295]

The answer is c because you have to say 27 minus the number minus 3

7 0

4 years ago

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7-2x=1-5x+2. Algebra

iragen [17]

7-2x= 1-5x+2

Combine like terms
7-2x= 3-5x

Add 5x to both sides
7+3x= 3

Subtract both sides by 7
3x= -4

Divide both sides by 3
x= -4/3

Final answer: -4/3

7 0

3 years ago

Isaac’s television is 25 inches wide and 18 inches high. What is the diagonal size of Isaac’s television? Round to the nearest t

ikadub [295]

Answer:

Step-by-step explanation:

The television takes the shape of a rectangle whose width is 25 inches and whose height is 18 inches. To determine the length of the diagonal, we will apply Pythagoras theorem. It states that

Hypotenuse^2 = opposite^2 + adjacent^2

From the given information,

Adjacent side = 25 inches

Opposite side = 18 inches

Diagonal = hypotenuse.

Therefore

Diagonal^2 = 25^2 + 18^2

Diagonal^2 = 625 + 324 = 949

Take square roots of both sides of the equation, it becomes

Diagonal = √949 = 30.805 inches

Approximately 30.8 inches to the nearest tenth.

4 0

4 years ago

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