A line passes through the point (–2, 4), and its y-intercept is (0, –6). What is the equation of the line that is perpendicular to the first line and passes through the point (5, –4)?

Question

phebe · Answer

$\color{RED}{WELCOME~TO~OPENSTUDY~}$

anonymous · Answer

Please just help me lol

phebe · Answer

LOL  The equation of the line, in general form, that passes through the point (1, 1) and has a y-intercept of 2 is y=-x+2, or y=2-x

phebe · Answer

@Owlcoffee

owlcoffee · Answer

The y-intercept is but a notable point, but that point has to also belong to the line and the y-axis, which is an useful tool to find equation of lines.
So, we will just find the slope of the given point and the y-interception of the first line and hopefully use the point-slope formula in order to find it's equation:
$$m_1=\frac{ -6-4 }{ 0-(-2) }$$

anonymous · Answer

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