Question

A line passes through the point (-1, - 8) and has a slope of -6. Write an equation for this line.In slope intercept form

Answer 1

y = - 6x - 14

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 6 , then

y = - 6x + c ← is the partial equation

to find c substitute (- 1, - 8 ) into the partial equation

- 8 = 6 + c ⇒ c = - 8 - 6 = - 14

y = - 6x - 14 ← equation in slope- intercept form

Answer 2

`\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}`

A line passes through the point (-1, -8) and has a slope of -6. Write an

equation for the line in slope-intercept form.

`\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}`

First, let's write the equation of the line in Point-slope form:-

`\Large\text{$y-y_1=m(x-x_1)$}`

Replace y₁ with -8, m with -6, and x₁ with -1:-

`\Large\text{y-(-8)=-6(x-(-1)}`

`\bigstar` On simplification,

`\Large\text{y+8=-6(x+1)}`

`\bigstar` Now let's convert it into slope-intercept form:-

`\Large\text{y+8=-6x-6}`

`\bigstar` On further simplification,

`\Large\text{y=-6x-6-8}`

`\bigstar` Finally, We get

`\Large\textit{y=-6x-14}`

`\Uparrow\textsf{Our equation in slope-intercept form}`

Good luck with your studies.

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`\rule{70}{1}\smile\smile\smile\smile\rule{70}{1}`