Question

I need help with this problem.

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Answer 1

Same y intercept as x+4y=8 through (4,3)

Y intercept is when x=0, so 4y=8, so y=2 and the y intercept is (0,2)

Answer for y intercept: (0,2)

So we need the line through (0,2) and (4,3). Point-point form says the line through (a,b) and (c,d) is

(c-a)(y-b) = (d-b)(x-a)

(4 - 0)(y - 2) = (3 - 2)(x - 0)

4y - 8 = x

Answer for the line: x - 4y = -8

Check:

(0,2) is on the line: 0-4(2) = -8 check

(4,3) is on the line 4 - 4(3) = -8 check

Answer 2

Answer: y = -1/4x - 4

Explanation:

y = (-1/4)x + 2 (This is the first linear function.)

(4,3) has slope of (-1/4)x or (1/-4)x

4(y2) - 4(y1= the new y -1(x2) -3(x1) = new x which leads to (0,-4) so y-intercept = -4

so all in all, y = (-1/4)x -4 is the answer

Hopefully, you're able to understand this. It's difficult to explain through typed words rather than visually and through a written example.