Question

Identify the slope and Y intercept of each linear functions equations

Answer 1

The slope and Y-intercept of each linear function's equation are as shown in the explanation below.

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Further explanation

Solving linear equation mean calculating the unknown variable from the equation.

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Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

$\large {\boxed{m = \frac{y_2 - y_1}{x_2 - x_1}}}$

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If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

$\large {\boxed{y - y_1 = m ( x - x_1 )}}$

Let us tackle the problem.

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This problem is about Slope and Y-Intercepts of Linear Functions

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

m → gradient of the line

( 0 , c ) → y - intercept

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Option A

$y = 1 - 3x$

$y = -3x + 1$

slope = - 3

Y-Intercept at 1

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Option B

$x - 3 = y$

$y = 1x - 3$

slope = 1

Y-Intercept at -3

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Option C

$y = 3x - 1$

slope = 3

Y-Intercept at -1

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Option D

$-x + 3 = y$

$y = -1x + 3$

slope = -1

Y-Intercept at 3

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Learn more

• Infinite Number of Solutions : https://brainly.com/question/5450548
• System of Equations : https://brainly.com/question/1995493
• System of Linear equations : https://brainly.com/question/3291576

Answer details

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

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Answer 2

that is the answers

1b

2c

3a

4d