writing an equation of a line given its slope and y-intercept

write an equation in slope-intercept form for the line with slope -5 and y-intercept 1.

Respuesta :

Answer:

The answer is y = -5x +1

Step-by-step explanation:

The general form of slope-intercept equation is y = mx + b

here "m" is the slope of the equation and "b" is the y-intercept.  

The above problem question we are provided with the following information

slope = m = -5

y-intercept = b = 1

putting the values in the slope-intercept equation

y = mx + b

y = (-5)x + 1

y = -5x +1 is the required slope-intercept eqaution  

Hii!

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[tex]\leadsto\parallel\odot\boldsymbol{Answer!}\odot\parallel\gets[/tex]

equation y=-5x+1

[tex]\leadsto\parallel\odot\boldsymbol{Explanation!}\odot\parallel\gets[/tex]

There are a few ways to write the equation of a line. The one we'll discuss here is: Slope-Intercept Form.

The slope-intercept form equation is.

[tex]\LARGE\multimap\textsf{y=mx+c}[/tex]. In which "m" denotes the slope, also known as the gradient, and "c' denotes the y-intercept.

Since we are provided with both the slope and the y-intercept, we can plug in the values into the formula.

[tex]\LARGE\multimap\textsf{y=(-5)x+(1)}[/tex]. Upon simplifying we obtain

[tex]\LARGE\multimap\textsf{y=-5x+1}[/tex]. Which is our final answer, the line's equation.

Great job!

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Hope that this helped! Best wishes.

[tex]\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}[/tex]

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