How do you write an equation of a line given no slope, (-3, 3/4)?

1 Answer
Apr 14, 2017

See the entire solution process below:

Explanation:

If no slope is given we can let the slope = #m#.

Given the point we can use the point-slope formula to write the equation for this problem. 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.

Substituting the values from the point in the problem and letting the slope equal #m# the equation is:

#(y - color(red)(3/4)) = color(blue)(m)(x - color(red)(-3))#

#(y - color(red)(3/4)) = color(blue)(m)(x + color(red)(3))#