Write an equation in slope intercept form for the linear equation f(-4) = 2 and f(6) = -3

y= -2.5x+12

Step-by-step explanation:

Skills used:

Finding slope from two pointsFinding y-intercept from two points or a slopeWriting equations in slope-intercept form

Steps:

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+bSubstitute a point into y and x: 2= -2.5(4)+bSolve to get b= 12Put it into the full equation: y=-2.5x+12

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