Mathematics, 28.09.2019 07:10 amoauya

Which linear function has the steepest slope?

a. y=-8x+5
b. y-9=-2(x+1)
c. y=7x-3
d. y=2=6(x+10)

Answers: 2

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Answers

Answer from: jordynp2615

Option A is correct.

The linear function that has the steepest slope is, y = -8x+5

Explanation:

Slope intercept form: The general formula is, y =mx+b where m is the slope and b is the y-intercept.

Option A:

According to slope intercept form:

Slope is -8

Similarly, for

Option B :

Slope is -2

Option C:

Slope is 7

Option D :

Slope is 6

Steepest slope defined as that is closest to being vertical.

This could be a line that is positive or negative slope respectively.

Therefore, the linear function that has the steepest slope is, y = -8x+5

Answer from: Laydax1587

The equation $\fbox{\bf y =-8x+5}$ has the steepest slope.

Further explanation:

The slope intercept form of a line is as follows:

y =mx+c

Here, is the slope of the line.

Step 1:

Compare the equation y =-8x+5 with slope intercept form of the equation y=mx+c to obtain the value of .

m=-8

Thus, the slope of the line y =-8x+5 is .

Step 2:

The equation $y-9=-2\left({x + 1}\right)$ can be solved as follows:

$\begin{aligned}y-9& =-2\left({x+1}\right)\hfill\\y-9&=-2x-2\hfill\\y&=-2x+7\hfill\\ \end{aligned}$

Compare the equation y=-2x+7 with slope intercept form of the equation y=mx+c to obtain the value of .

m=-2

Thus, the slope of the line $y-9 =-2\left( {x+1}\right)$ is .

Step 3:

Compare the equation y=7x-3 with slope intercept form of the equation y=mx+c to obtain the value of .

m=7

Thus, the slope of the line y=7x-3 is .

Step 4:

The equation $y-2=6\left({x+10}\right)$ can be solved as follows:

$\begin{aligned}y-2&=6\left({x + 10}\right)\hfill\\y-2&=6x+60\hfill\\y&=6x+62\hfill\\ \end{aligned}$

Compare the equation y=6x+62 with slope intercept form of the equation y=mx+c to obtain the value of .

m=6

Thus, the slope of the line $y-2=6\left({x+10}\right)$ is 6.

Steepest slope defined as that is closest to being vertical. This could be a line that is positive or negative slope respectively.

From the above equations, it is observed that the equation y=-8x+5 has the steepest slope among the all given equation.

Thus, the equation $\fbox{\bf y =-8x+5}$ has the steepest slope.

Learn more:

1. Which function has an inverse that is also a function? {(–1, –2), (0, 4), (1, 3), (5, 14), (7, 4)} {(–1, 2), (0, 4), (1, 5), (5, 4), (7, 2)} {(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)} {(–1, 4), (0, 4), (1, 2), (5, 3), (7, 1)}

2. A given line has the equation 10x + 2y = −2. what is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)? y = ( )x + 12

3. what are the domain and range of the function f(x) = 3x + 5?

Answer Details :

Grade: High School.

Subject: Mathematics.

Chapter: linear equation.

Keywords:

Slope intercept form, slope, steeper, steepest, equation, slope intercept form of the line, steeper slope, equation, function, expression, y=mx+c, y=-8x+5, y=7x-3.

Answer from: Quest

What is the rest of the question?

Answer from: Quest

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Which linear function has the steepest slope?

a. y=-8x+5
b. y-9=-2(x+1)
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