The linear equation can be written as follows:
y = (-1/4)*x + 19/4
How to write the linear equation?
Remember that a line in the slope-intercept form is written as:
y = ax+ b
Where a is the slope and b is the y-intercept.
In this case, we know that the slope of the line is (-1/4), then we can write:
y = (-1/4)*x + b
We also know that this line passes through (3, 4), replacing these values we will get:
4 = (-1/4)*3 + b
4 = -3/4 + b
4 + 3/4 =b
16/4 + 3/4 = b
19/4 =b
The linear equation is:
y = (-1/4)*x + 19/4