Question

3 A line passes through the point (-8, 9) and has a slope of 3/4

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

Answer 1

y = 3/4x + 15

Explanation:

Given;

A line passes through the point (-8, 9) and has a slope of 3/4

Question:

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

Solve:

Slope-intercept form ⇒ y=mx+b

Which-

• m = Slope
• b = y-intercept
• y and x = any point on the line

Based on the given;

• m = 3/4
• b = ?
• y = 9
• x = -8

Using slope intercept form to find y-intercept;

y=mx+b

9 = 3/4(-8) + b

9 = -6 + b

9+6 = -6+6 + b

b = 15

Therefore now we can write an equation.

y = 3/4x + 15

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