Point -1, -1 are on the line equation y = 4/3x + 1/3
<h3>Further explanation</h3>
Straight-line equations are mathematical equations that are described in the plane of cartesian coordinates
General formula

or
y = mx + c
Where
m = straight-line gradient which is the slope of the line
x1, y1 = the Cartesian coordinate that is crossed by the line
c = constant
The formula for a gradient (m) between 2 points in a line
m = Δy / Δx

There are several gradient properties that a line has
- 1. parallel to the x-axis
the gradient that is parallel to the x-axis is = 0
- 2. parallel to the y-axis
the gradient that is parallel to the y-axis is undefined
the gradient of 2 parallel lines are of equal value
the gradient of 2 perpendicular lines, if both of them are multiplied , the value will be = -1
line MN with M (-2,4) and N (2,1)
the gradient:

Then the equation of the line: (through the point -2.4)


Line A with a line equation that is perpendicular to the line MN will have a gradient:
line gradient MN x line gradient A = -1
(-3/4) x gradient line A = -1
gradient line A = 4/3
So the line A with the equation y = 4/3x + 1/3 is appropriate
From the several answer options, we enter the value of these points into the equation y = 4/3x + 1/3, whether or not it meets. If it meets then the point is contained in the existing line equation
-1 = 4/3. -1 + 1/3
-1 = -1 -> fulfill
0 = 4/3. 0 + 1/3
0 = 1/3 -> do not meet
3 = 4/3. 3 + 1/3
3 = 4 1/3 -> do not meet
1 = 4/3. 1 + 1/3
1 = 5/3 -> do not meet
So the point that meets is point -1, -1
<h3>Learn more</h3>
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Keywords: gradient, straight-line equation, perpendicular, parallel