Question

Which linear function has the steepest slope?

Answer 1

Answer:

$y=-8x+5$

Slope-intercept form:

$\implies y=mx+b$ $(\text{m=slope};\text{b=y-intercept})$

Using the slope-intercept form, let's identify the other slopes:

Option A:

$y=-8x+5$  

$\text{slope}=-8$

Option B:

$y-9=-2(x+1)$ (This equation is in point-slope form, the slope it too the left, making it -9)

$\text{slope}=-9$

Option C:

$y=7x-3$

$\text{slope}=7$

Option D:

$y+2=6(x+10)$

$\text{slope}=2$  (Using point-slope terms, we can find the slope.)

⇒ A 'steep'est slope is closest to almost having a vertical slope or pitch, or  relatively high gradient, as a hill, an ascent, stairs, etc.

$\text{This could be a line }$ ⇒ ($\text{positive or negative}$)

Hence, the linear function with the steepest slope is Option A: $y=-8x+5$.

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