Create a slope triangle with an angle of 33.7^(∘) and an adjacent side of 1 unit.
y≈ 2/3x+7
Practice makes perfect
To write the equation we have to find its slope m and y-intercept b. When we know this, we can write the equation in slope-intercept form.
y= mx+ b
In addition to the y-intercept, we know the angle with which the line increases. Let's demonstrate this in a graph. Note that a line's slope is defined as the vertical change when you move 1 unit in the positive horizontal direction. Therefore, from the y-intercept, we will also draw a slope triangle with a horizontal side of 1 and an angle of 33.7^(∘).
If we can find the value of m, we can get the slope of the line. Since we know the adjacent leg to the given angle, by using the tangent ratio, we can find the value of m.
