What is the equation in point-slope form and slope intercept form for the line given slope= -1/2, (0,3)?

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Answer 1 · 2018-03-05T00:00:51

See a solution process below:

The point-slope form of a linear equation is: #(y - color(blue)(y_1)) = color(red)(m)(x - color(blue)(x_1))#

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

Substituting gives:

#(y - color(blue)(3)) = color(red)(-1/2)(x - color(blue)(0))#

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.

#(0, 3)# is the same as having a #y#-intercept of #3#

Substituting gives:

#y = color(red)(-1/2)x + color(blue)(3)#