Write a linear function in the form
𝑦 equals 𝑚𝑥 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 𝑚𝑥 plus 𝑏. The value of 𝑚 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 𝑥 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.