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Can you solve this in terms of: to find the equation of a straight line when given one point and the y-intercept​

Can You Solve This In Terms Of To Find The Equation Of A Straight Line When Given One Point And The Yintercept class=

Sagot :

MiumiuXDidn

Answer:

The correct answer is y = -x -8.

View image MiumiuXD
Zarahaider4211idn

Answer:

y = -x

Step-by-step explanation:

Slope-Intercept Form

The slope-intercept form of a linear equation is

                                                  y = mx + b,

where m is the slope (rate of change) and b is the y-intercept (the line's value crosses the y-axis).

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Solving the Problem

Slope

The line shows us the graph which crosses the origin (0,0) and the point (4, -4).

From this, we can find the slope using the slope formula:

                   [tex]slope = \dfrac{\Delta y}{\Delta x} = \dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-0}{4-0} =-1[/tex].

So, m = -1.

Y-Intercept

The graph shows that the line only crosses the y-axis at the origin where its y-value is 0, so b = 0.

Putting it Together

Thus, the equation of the line is y = -1x + 0 or

                                                           y = -x.

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