How do you write an equation in point slope and slope intercept form given m=-7; (0, 2.4)?

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Answer 1 · 2017-06-02T15:03:49

See a solution process below

The point #(0, 2.4)# gives us the #y# intercept. The slope-intercept form of a linear equation is: #y = color(red)(m)x + color(blue)(b)#

Where #color(red)(m)# is the slope and #color(blue)(b)# is the y-intercept value.

Substituting the slope and y-intercept from the problem gives:

#y = color(red)(-7)x + color(blue)(2.4)#

The point-slope formula states: #(y - color(red)(y_1)) = color(blue)(m)(x - color(red)(x_1))#

Where #color(blue)(m)# is the slope and #color(red)(((x_1, y_1)))# is a point the line passes through.

We can also substitute directly giving:

#(y - color(red)(2.4)) = color(blue)(-7)(x - color(red)(0))#