Answer:
[tex]y=-\frac{3}{2}x+3[/tex]
Step-by-step explanation:
We can find an equation for the line by using the slope of the line and the y-intercept.
We can see that the y-intercept of of the line is 3.
To find the slope of the line, we can use the slope formula. The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where (x₁, y₁) and (x₂, y₂) are points on the line. To find the slope of the line, I will use the x-intercept, which is (2, 0), for (x₂, y₂) and y-intercept, which is (0, 3), for (x₁, y₁).
[tex]m=\frac{0-3}{2-0}=\frac{-3}{2}=-\frac{3}{2}[/tex]
So now we know the y-intercept and the slope, so lets plug it into the slope-intercept form equation. This gives us:
[tex]y=-\frac{3}{2}x+3[/tex]
So the equation of the line would be [tex]y=-\frac{3}{2}x+3[/tex].
I hope you find my answer helpful.
