Question

What is the equation of the line that passes through the point (-6,-5) and has a slope of 3/2?

Answer 1

Finding Linear Equations

Linear equations are typically organized in slope-intercept form:

`y=mx+b`

• m = the slope
• b = the y-intercept

To find linear equations, we must solve for m and b and substitute them into slope-intercept form.

Solving the Question

We're given:

• Passes through the point (-6,-5)
• m =
  `(3)/(2)`

Input the slope into slope-intercept form:

`y=mx+b\\\\y=(3)/(2)x+b`

Solve for the y-intercept by inputting the given point (-6,-5):

`-5=(3)/(2)(-6)+b\\\\-5=-9+b\\\\4=b`

Therefore, the y-intercept is 4. Plug this back into our original equation:

`y=(3)/(2)x+4`

Answer

`y=(3)/(2)x+4`