How to find the y intercept of a linear equation


Asked by admin @ in Mathematics viewed by 394 People


Identify the slope and Y intercept of each linear functions equations

Answered by admin @



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

Answer details

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

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

#LearnWithBrainly


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