Write an equation in slope intercept form for the linear equation f(-4) = 2 and f(6) = -3
1 answer:
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
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Answer:
y = - x + 6
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
here m = - , hence
y = - x + c ← is the partial equation
to find c substitute (6, - 3 ) into the partial equation
- 3 = - 9 + c ⇒ c = - 3 + 9 = 6
y = - x + 6 ← equation in slope- intercept form