Answer:
Equation for a line that passes through the point 8,−2) and has a slope of 3/4 is:
y = 3/4(x) - 8
Explanation:
We need to find the equation of the line.
The line has slope 3/4
and passes through point (8,-2)
The equation used will be:
y = mx + b
where m is the slope and b is the y-intercept.
We need to find the value of b
Putting values of y, m and x in the equation to find the value of b
y = -2, x = 8 and m = 3/4
y = mx - b
-2 = 3/4 (8) + b
-2 = 3(2) + b
-2 = 6 + b
=> b = -2-6
b = -8
b = -8
So, equation for a line that passes through the point (8,−2) and has a slope of 3/4 is:
y = 3/4(x) - 8