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

`\Longrightarrow:\boxed{\sf{y=-(3)/(4)x-1}}`

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=-(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=-(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.

Answer 2

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