Home > Algebra > Write an Equation Given the Slope and a Point

How do you write an equation of the line with a slope of # 3/2# and the #y#-intercept #–2?#

Answer 1

Isaiah Anthony

See a solution process below:

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)(3/2)x + color(blue)(-2)#

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

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Eva Abramson

The equation of the line with a slope of ( \frac{3}{2} ) and a y-intercept of -2 can be written in slope-intercept form (( y = mx + b )) as:

[ y = \frac{3}{2}x - 2 ]

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.