Question

A line passes through the point (-8,5) and has a slope of -3/4 .

Write an equation in slope-intercept form for this line.

Answer 1

Answer:

Step-by-step explanation:

Formula

The basic formula is

y = mx + b

m = the slope

b = the y intercept

What you know so far

y = mx + b.

You know that the slope = -3/4

y = - 3/4 x  + b

y intercept

The point is used to find the y intercept.

x = - 8

y = 5

Subtitute these two values into the equation above.

5 = -3/4 * (-8) + b          Multiply the factors on the right

5 =  6 + b                      Subtract 6 from both sides

5 - 6 = b                       Combine

-1 = b

Answer: y = -(3/4) x - 1

Answer 2

Answer:

$\Longrightarrow:\boxed{\sf{y=-\dfrac{3}{4}x-1}}$

Step-by-step explanation:

Use the slope-intercept form.

Slope-intercept form:

$\Longrightarrow: \sf{y=mx+b}$

• The m represents the slope.
• The b represents the y-intercept.

X= (-8)

Y= 5

$\sf{5=-\dfrac{3}{4}*(-8)+b}$

5=6+b

Subtract the sign.

5-6=b

Solve.

Isolate the term of b from one side of the equation.

Subtract the numbers from left to right.

⇒ 5-6=-1

⇒ -1=b

Change the equation.

⇒ b=-1

So, therefore, the y-intercept is -1.

$\Longrightarrow: \boxed{\sf{y=-\dfrac{3}{4}x-1}}$

• Therefore, the correct answer is y=-3/4x-1.

I hope this helps! Let me know if you have any questions.