Write in the slope-intercept form an equation of the line that passes the given point

1 (0,1) , (2,4)
2 (-3,1) , (0,4)
Please show work :) for brainliest

Respuesta :

Answer:

1) y = 1.5x + 1

2) y = x + 4

Explanation:

[tex]\sf slope : \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

1)

[tex]\sf slope = \dfrac{4-1}{2-0} =1.5[/tex]

Equation:

[tex]\sf y - y_1 = m(x-x_1)[/tex]

[tex]\sf \rightarrow y - 1 = 1.5(x - 0)[/tex]

[tex]\sf \rightarrow y = 1.5x + 1[/tex]

2)

[tex]\sf slope = \dfrac{4-1}{0-(-3)} =1[/tex]

Equation:

[tex]\sf y - y_1 = m(x-x_1)[/tex]

[tex]\rigtharrow \sf y - 4 = 1(x-0)[/tex]

[tex]\rigtharrow \sf y = x + 4[/tex]