Question

Which linear function has the steepest slope?

Answer 1

Answer: The correct option is A.

Explanation:

The slope intercept form is,

$y=mx+c$

Where m is slope.

The point slope form is,

$y-y_1=m(x-x_1)$

Where m is slope.

On Comparing the first equation with slope intercept form, we get m = -8.

On Comparing the second equation with point slope form, we get m = -2.

On Comparing the third equation with slope intercept form, we get m = 7.

On Comparing the Fourth equation with point slope form, we get m = 6.

The steepest line have greatest absolute slope value.

Since the equation 1 has greatest absolute slope value,i.e., 8 therefore option A is correct.

Answer 2

Answer:

y=-8x+5

Step-by-step explanation:

y - 9 = -2(x+1)

y - 9 = -2x - 2

y = -2x +7

y + 2 = 6(x+10)

y + 2 = 6x + 60

y = 6x + 58