Question

Does anyone know the answer to this question? I’ve been staring at this for a solid 20mins but can’t figure it out.

Answer 1

`\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}`

A linear function is an equation of the form:

`\sf{y=mx+b}`

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`\sf{m= \: slope}`

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`\sf{b= \: y-intercept}`

First, pick any two pairs of points from the table.

`\small\longrightarrow \sf{(x_1,y_1)(-1.13)}`

`\small\longrightarrow \sf{(x_2,y_2)=(0,10)}`

Using these points, find the slope.

`\small\longrightarrow \sf{m= (y _(2 ) - y_1)/(x_2-y_1) }`

When x=0, y=10, therefore, the y-intercept, b=10.

`\leadsto` Substitute m=-3 and b=10 into the slope-intercept form given above:

`\small\longrightarrow \sf{m=m = (10 - 13 )/(0 -( - 1) ) = - (3)/(1) = - 3}`

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`\small\longrightarrow \sf{y= -3x+10}`

`\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}`

`\large\boxed{\bm{y= -3x+10}}`