the equation 7x + 5=100 is in standard form this form tells us the x and y intercepts easily
Actually, the equation 7x + 5 = 100 is not in standard form. The standard form of a linear equation is usually represented as Ax + By = C, where A, B, and C are constants.
To put the given equation in standard form, we need to move the variables to one side and constants to the other side:
7x + 5 = 100
Subtracting 5 from both sides:
7x = 100 - 5
7x = 95
Dividing both sides by 7:
x = 95/7
The equation in standard form would be:
7x - 95 = 0
With this form, it is not as straightforward to find the x and y intercepts. To find the x-intercept, we set y = 0 and solve for x. To find the y-intercept, we set x = 0 and solve for y.