​The area, in square units, of a triangle formed by the coordinate axis and the straight line 5x + 7y = 35 is: ​

Correct option is B

Given:

The equation of the line: 5x + 7y = 35

The coordinate  are the x-axis and y-axis.

Formula used:

The area of the triangle formed by the line and the coordinate axes can be calculated using the formula:

Area = $$\frac{1}{2} \times base \times height$$ 

where:

base = x-intercept (where y = 0)

height = y-intercept (where x = 0) 

Solution:

x-intercept:  y = 0 in the equation 5x + 7y = 35

5x = 35

x = 7

So, the x-intercept is (7,0)(7, 0) (7,0) 

y-intercept: x = 0 in the equation 5x + 7y = 35 

7y = 35 

y = 5 

So, the y-intercept is (0,5)

Now, The area: 

Base = x-intercept = 7

Height = y-intercept = 5

Area = $$\frac{1}{2} \times 7 \times 5$$ = $$\frac{35}2$$ 

​The area of the triangle is $$\frac{35}2$$ ​