Find the equation of a line when y-intercept is 2, and gradient is -2/3

y=-2/3x+2

Explanation:
When we need to find the equation of a line and the question gives us the slope/gradient and y-intercept, we organize our answer in slope-intercept form.

Slope intercept form: y=mx+b

Here’s what the variables mean:
Y=the y coordinate
M=the slope/gradient
X=the x coordinate
B=the y-intercept (the point on the line that intercepts the y-axis)

Now, all we have to do is plug in the given information. The m variable is the slope of the line so we plug in -2/3 as m.

y=mx+b
y=-2/3x+b

And the b variable is the y intercept so we plug in 2 as b.

y=-2/3x+2

I hope this helps! Please comment if you have any questions.