Video: Forming a Linear Function given Its Slope and 𝑦-Intercept

Write a linear function in the form 𝑦 = π‘šπ‘₯ + 𝑏, that has a slope of 3 and a 𝑦-intercept of 8.

01:09

Video Transcript

Write a linear function in the form 𝑦 equals π‘šπ‘₯ plus 𝑏 that has a slope of three and a 𝑦-intercept of eight.

We can write any linear function in the form 𝑦 equals π‘šπ‘₯ plus 𝑏. The value of π‘š is the slope or gradient of the function. If this number is positive, our function will slope upwards from left to right. If it is negative, it will slope downwards. The value of 𝑏 is the 𝑦-intercept. This is the point at which the function crosses the 𝑦-axis.

In this question, we’re told that the slope is equal to three and the 𝑦-intercept is eight. This means that the function can be written 𝑦 equals three π‘₯ plus eight. If we drew this on a coordinate axes, the line would cross the 𝑦-axis at eight. And for every one unit we moved to the right, we would move three units up.

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.