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PLEASE HELP! urgent! Write the equation of a line in a slope-intercept form and standard form

PLEASE HELP! urgent! Write the equation of a line in a slope-intercept form and standard-example-1
User Trojek
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1 Answer

6 votes

Answer:


y = (3)/(4)x -3 --- Slope intercept


4y - 3x =- 12 --- Standard form

Explanation:

Given

The attached linear graph

Required

The equation

Select any two points on the line


(x_1,y_1) = (0,-3)


(x_2,y_2) = (4,0)

Next, calculate the slope (m)


m = (y_2 - y_1)/(x_2 - x_1)

So, we have:


m = (0 --3)/(4 - 0)


m = (3)/(4)

The slope intercept is then calculated using:


y = m(x - x_1) + y_1

So, we have:


y = (3)/(4)(x - 0) -3


y = (3)/(4)(x) -3


y = (3)/(4)x -3

Multiply through bu 4


4y = 3x - 12

Subtract 3x from both sides


4y - 3x =- 12 --- Standard form

User HMReliable
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