Question

A line has a slope of 6 and a y-intercept of 5. What is its equation in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

The equation in slope-intercept form is y = 6x + 5

Explanation:

The slope-intercept form of the linear equation is y = m x + b, where

• m is the slope

• b is the y-intercept

Let us solve the question

∵ A line has a slope of 6

∵ m is the slope of the line

∴ m = 6

∵ The line has a y-intercept of 5

∵ b is the y-intercept

∴ b = 5

→ Substitute the values of m and b in the slope-intercept form

∵ y = m x + b

∴ y = 6x + 5

∴ The equation in slope-intercept form is y = 6x + 5