Question

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.

Answer 1

Hii!

__________________________________________________________

`\leadsto\parallel\odot\boldsymbol{Answer!}\odot\parallel\gets`

equation y=-5x+1

`\leadsto\parallel\odot\boldsymbol{Explanation!}\odot\parallel\gets`

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.

`\LARGE\multimap\textsf{y=mx+c}`. 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.

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

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

Great job!

--

Hope that this helped! Best wishes.

`\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}`

--

Answer 2

The answer is y = -5x +1

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