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BasketballEinstein

Answer:

[tex]\displaystyle y = -2x + 5[/tex]

Explanation:

From the y-intercept of [tex]\displaystyle [0, 5],[/tex]travel five units south over two units east. Doing so will get you to the endpoint of [tex]\displaystyle [1, 3],[/tex]which tells you that the rate of change is [tex]\displaystyle -2.[/tex]Therefore, your equation, in Slope-Intercept Form, is [tex]\displaystyle y = -2x + 5.[/tex]

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semsee45

Answer:

[tex]\sf y=-2x+5[/tex]

Step-by-step explanation:

Choose 2 points on the line:

Let [tex]\sf (x_1,y_1)=(0,5)[/tex]

Let [tex]\sf (x_2,y_2)=(4,-3)[/tex]

Substitute these points into the slope formula to find the slope (m):

[tex]\sf slope \ (m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-3-5}{4-0}=-2[/tex]

Substitute point (0, 5) and the slope (m) into the point-slope form of a linear equation: [tex]\sf y-y_1=m(x-x_1)[/tex]

[tex]\sf \implies y-5=-2(x-0)[/tex]

[tex]\sf \implies y=-2x+5[/tex]

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