Answer:
Explanation:
To find the equation of the line that passes through the point (8, 1) and has a slope of -3/4, you can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
Where:
- (x1, y1) is the given point (8, 1).
- m is the slope (-3/4).
Now, plug in the values:
y - 1 = (-3/4)(x - 8)
Next, distribute the slope (-3/4) to both terms inside the parentheses:
y - 1 = (-3/4)x + (3/4)(8)
Now, simplify:
y - 1 = (-3/4)x + 6
To isolate y, add 1 to both sides of the equation:
y = (-3/4)x + 6 + 1
y = (-3/4)x + 7
So, the equation of the line passing through the point (8, 1) with a slope of -3/4 is:
y = (-3/4)x + 7