Question

Which linear function has the steepest slope?

Answer 1

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, $m$ 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 $m$.

$m=-8$

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

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 $m$.

$m=-2$

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

Step 3:

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

$m=7$

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

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 $m$.

$m=6$

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)}  

brainly.com/question/1632445  

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  

brainly.com/question/1473992  

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

brainly.com/question/3412497  

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 2

Answer:

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, $y = -8x+5$