The y-intercept is (0, 2.5). The x-intercept is (1.66666667, 0)
How to determine the intercepts of a linear equation.
A linear equation is an equation whose highest variable has a power of 1. The graph of a linear equation is a straight line graph. The intercepts of a linear equation are x-intercept(the value of x when y is zero) and y-intercept(the value of y when x is zero).
To determine the y intercept from the graph, we need to set the value of x in the given equation to be zero.
i.e.
3x + 2y = 5
3(0) + 2(y) = 5
2y = 5
y = 5/2
y = 2.5
Therefore y - intercept = (0, 2.5)
To determine the x intercept from the graph, we need to set the value of y in the given equation to be zero.
i.e.
3x + 2y = 5
3x + 2(0) = 5
3x = 5
x = 5/3
x = 1.66666667
Therefore x - intercept = (1.66666667, 0)