Finding Linear Equations
Linear equations are typically organized in slope-intercept form:
[tex]y=mx+b[/tex]
- 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 = [tex]\dfrac{3}{2}[/tex]
Input the slope into slope-intercept form:
[tex]y=mx+b\\\\y=\dfrac{3}{2}x+b[/tex]
Solve for the y-intercept by inputting the given point (-6,-5):
[tex]-5=\dfrac{3}{2}(-6)+b\\\\-5=-9+b\\\\4=b[/tex]
Therefore, the y-intercept is 4. Plug this back into our original equation:
[tex]y=\dfrac{3}{2}x+4[/tex]
Answer
[tex]y=\dfrac{3}{2}x+4[/tex]
