Write the slope-intercept form of the equation of the line that passes through the point (-5,4) and has a slope of -1.

y = mx+b
4 = -1(-5)+b
4 = 5+b
9 = b

y = 5x+9

I don't see what I missed. Do I subtract 5 on both sides? that would be y = 5x-1

1 answer

y = mx+b
4 = -1(-5)+b
4 = 5+b

OK to here

9 = b No

y = 5x+9 No

I don't see what I missed. Do I subtract 5 on both sides? Yes

that would be y = 5x-1

No, the gradient is -1.

So go back to the original
y=mx+b

m=-1 and b=-1 and substitute

y=-1x-1

Check by substituting the values if x=-5

y=-1(-5)-1 = 4
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