Answer:
An equation that represents the line is:
y = 3/4x - 9/2
Step-by-step explanation:
The slope-intercept form of the line equation
where
Given the attached graph of a line.
Taking two points from the line, such as
Determining the slope between (2, -3) and (0, 6)


refine

substituting m = 3/4 and the point (2, -3) in the slope-intercept form of the line equation
y = mx + b


subtract 3/2 from both sides


now substituting b = -9/2 and m = 3/4 in the slope-intercept form of the line equation
y = mx + b
y = 3/4x + (-9/2)
Therefore, an equation that represents the line is:
y = 3/4x - 9/2
To find the slope of the above equation, it is easiest to put it into slope-intercept form, y=mx + b, where the variable m represents the slope. To do this, we must isolate the variable y on the left side of the equation by using the reverse order of operations. First, we should subtract 3x from both sides of the equation.
3x + 6y = 9
6y = -3x + 9
Next, we should divide both sides of the equation by 6 to undo the coefficent of 6 on the variable y.
y = -1/2x + 3/2
Therefore, the slope of the line is -1/2 (the coefficient of the variable x in slope-intercept form).
Hope this helps!
Answer will be 1 because it’s by its self or it could be 2
Answer:
4
Step-by-step explanation:
Initial Value refers to the y-intercept, which is (0,4), making the answer 4.
Step-by-step explanation:
for a perpendicular,
make x the subject.
8x=11-3y
x=11/8 +3/8
for a perpendicular, the gradient
x= -1/m
x= (-1/11/8) - (-1/3y/8)
x= 8/3y -8/11.
therefore the gradient (m) = 8/3y -8/11.