Question

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

Answer 1

Answer:

1) y = 1.5x + 1

2) y = x + 4

Explanation:

$\sf slope : \dfrac{y_2 - y_1}{x_2 - x_1}$

1)

$\sf slope = \dfrac{4-1}{2-0} =1.5$

Equation:

$\sf y - y_1 = m(x-x_1)$

$\sf \rightarrow y - 1 = 1.5(x - 0)$

$\sf \rightarrow y = 1.5x + 1$

2)

$\sf slope = \dfrac{4-1}{0-(-3)} =1$

Equation:

$\sf y - y_1 = m(x-x_1)$

$\rigtharrow \sf y - 4 = 1(x-0)$

$\rigtharrow \sf y = x + 4$