Question

What are the slope and y-intercept of the linear function graphed to the left? slope: –2; y-intercept: 2 slope: ; y-intercept: 1 slope: ; y-intercept: 2 slope: 2; y-intercept: 1

Answer 1

Let

$A(0,1)\\ B(2,0)$

we know that

The y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point A is the y-intercept

$y=1$

The answer part a) is

The value of y-intercept is $1$

Part b) Find the slope m

we know that

the value of the slope is equal to

$m =\frac{(y2-y1)}{(x2-x1)}$

Substitute the values

$m =\frac{(0-1)}{(2-0)}$

$m =-\frac{1}{2}$

therefore

the answer Part b) is

The value of the slope is equal to $-\frac{1}{2}$

The general answer is

The slope is $-\frac{1}{2}$

The value of y-intercept is $1$

Answer 2

The slope of the linear function graphed is $\boxed{ - \frac{1}{2}}$ and the y-intercept is $\boxed1.$

Further explanation:

The linear equation with slope $m$ and intercept $c$ is given as follows.

$\boxed{y = mx + c}$

The formula for slope of line with points $\left( {{x_1},{y_1}} \right)$ and $\left( {{x_2},{y_2}} \right)$ can be expressed as,

$\boxed{m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}}$

Explanation:

From the graph it has been observed that the line intersects y-axis at $\left( {0,1} \right).$

Therefore, the y-intercept of the line is $\boxed1.$

The line passes through the point $\left( {0,1} \right)$ and $\left( {2,0} \right).$

The slope of the line can be obtained as follows,

$\begin{aligned}m&=\frac{{0 - 1}}{{2 - 1}}\\&= - \frac{1}{2}\\\end{aligned}$

The slope of the linear function graphed is $\boxed{ - \frac{1}{2}}$ and the y-intercept is $\boxed1.$

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: numbers, y-intercept, linear function, graphed, left, intercept form, slope-intercept form, linear equation, slope, slope intercept, inequality, equation, linear inequality, shaded region, y-intercept, graph, representation, origin.

Answer 3

the answer is A)