The equation of the line is y = -5/2x + 5.
X-intercept-The x-intercept is the point where the line crosses the x-axis, which means y=0.
The line crosses the x-axis at x=2, so the x-intercept is (2,0).
Y-intercept-The y-intercept is the point where the line crosses the y-axis, which means x=0.
The line crosses the y-axis at y=5, so the y-intercept is (0,5).
Equation
We can use the point-slope form of linear equations to find the equation of the line. The point-slope form is:
y - y1 = m(x - x1)
where m is the slope of the line and (x1, y1) is a point on the line.
We can use the points (0,5) and (2,0) to find the slope:
m = (y2 - y1) / (x2 - x1) = (0 - 5) / (2 - 0) = -5/2
Now we can plug the slope and one of the points into the point-slope form to find the equation of the line:
y - 5 = -5/2(x - 0)
y - 5 = -5/2x
y = -5/2x + 5
Therefore, the equation of the line is y = -5/2x + 5.