Which linear function has the same y-intercept as the one that is represented by the graph? On a coordinate plane, a line goes through points (3, 4) and (5, 0). A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is labeled y with entries negative 26, negative 14, 34, 46.

The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term. It is an equation of degree one, with variables x and y. The values of x and y represent the coordinates of the point on the line represented in the coordinate plane.

The equation of line based on the coordinates given: [tex]y - y1 = (\frac{y2 - y1}{x2 - x1} )(x - x1)[/tex]

A.

[tex]y - 2 = (\frac{-4-2}{-3+1}) (x + 1)\\\\y -2 = 3(x+1)\\\\y - 2 = 3x + 3\\\\y = 3x + 5[/tex]

B.

[tex]y - 6 = (\frac{-2-6}{4-2}) (x -4)\\\\y -6 = -4(x-4)\\\\y - 6 = -4x + 16\\\\y = -4x + 22[/tex]

C.

[tex]y - 5 = (\frac{5-1}{5-3}) (x -5)\\\\y -5 = 2(x-5)\\\\y - 5 = 2x -10\\\\y = 2x -5[/tex]

D.

[tex]y - 46 = (\frac{46-34}{6-4}) (x -34)\\\\y -46 = 6(x-34)\\\\y - 46 = 6x + 68\\\\y = 6x + 114[/tex]

The solution set which matches the graph must also contain the coordinate that lie on the line i.e., (0,5).

So, we check equation of which line satisfy the given coordinate (0,5).

It is A). It must have the same y-intercept as the one that is represented by the graph.

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