Answer: y= -2.5x+12
Step-by-step explanation:
<u>Skills used:</u>
- Finding slope from two points
- Finding y-intercept from two points or a slope
- Writing equations in slope-intercept form
<u>Steps:</u>
- Write out the two equations as points: (-4, 2) and (6, -3)
- Find the slope by using the equation:
, which gives us -5/2, or -2.5 (I'm going to use decimals)
- Write it into slope intercept form: y= -2.5x+b
- Substitute a point into y and x: 2= -2.5(4)+b
- Solve to get b= 12
- Put it into the full equation: y=-2.5x+12