Question

Line with y-intercept -4 through (6,0)
y=....
PLEASE HELP

Answer 1

Answer: " y =
`(2)/(3)` x − 4 " .

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Note: y = mx + b ;

b = -4 ;

So, we have:

y = mx - 4 ;

Given the point on the line: " (6, 0) " ;

So, when x = 6, y = 0 .
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y = mx - 4 ; Solve for "m" ; So we can write the equation of the line, in slope-intercept format; that is: "y = mx + b" ;

0 = m(6) - 4 ;

Add "4" to EACH SIDE of the equation ;

0 + 4 = m(6) - 4 + 4 ;

to get:

4 = 6m ;

Divide each side of the equation by "6" ;

4/6 = 6m / 6 ;

to get: 2/3 = m ;

Now, we can rewrite the equation:

y = mx - 4 ;

y =
`(2)/(3)` x − 4 .
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Answer 2

2 points on the line are (0,-4) and (6,0)
slope Is thus 2,/3

y= 2/3 x - 4