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Eighth grade Y 11 Write a linear equation from two points A line includes the points (4, 6) and (3, 3), What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form у y- Submit Work it out​

Sagot :

MrRoyal

Answer:

[tex]y = 3x - 6[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (4,6)[/tex]

[tex](x_2,y_2) = (3,3)[/tex]

Required

Equation in slope intercept

First, calculate the slope.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{3-6}{3-4}[/tex]

[tex]m = \frac{-3}{-1}[/tex]

[tex]m = 3[/tex]

The equation is:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 3(x - 4) +6[/tex]

[tex]y = 3x - 12+6[/tex]

[tex]y = 3x - 6[/tex]

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