choose an equation for the line that is parallel to the given line and passes through the given point for questions 1 and 2

y=1/5x+4
y=-1/5x-4
y=5x-68
y=5x+4

1.D

2.C
3.B
4.C
5.C

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The fact that this is accurate in 2022 is disappointing lol. Lazy schooling system

Identified tester is correct.

identified tester is correct

1) To find a line parallel to y=1/5x+4, we need to keep the same slope of 1/5. Let's say the point it needs to pass through is (2, -6). So, the equation would be y = 1/5x - 8.

2) For a line parallel to y=-1/5x-4, we maintain the slope of -1/5. Assuming it needs to pass through (3, 2), the equation can be written as y = -1/5x + 7.

To find an equation for the line that is parallel to the given line and passes through a given point, we need to use the slope-intercept form of a linear equation: y = mx + b.

Step 1: Determine the slope of the given line.
The slope of the given line is determined by the coefficient of x in the equation. In this case, all the equations have a slope of 1/5, -1/5, 5, and 5 respectively.

Step 2: Use the point-slope form to find the equation.
The point-slope form of a linear equation is: y - y1 = m(x - x1), where (x1, y1) represents the given point and m is the slope.

1) For the equation that is parallel to y = (1/5)x + 4 and passes through a given point, we need to use the slope 1/5 and substitute the coordinates of the given point into the point-slope form. Let's say the given point is (x1, y1).

So, the equation for the line parallel to y = (1/5)x + 4 and passing through the given point can be written as y - y1 = (1/5)(x - x1).

2) Repeat the same process for the other equations by substituting the slopes and the coordinates of the given points.

So, the equations for the lines parallel to the given line and passing through the given points are:
1) y - y1 = (1/5)(x - x1)
2) y - y1 = (-1/5)(x - x1)
3) y - y1 = 5(x - x1)
4) y - y1 = 5(x - x1)

This thing was answered in 2020 and it's STILL correct. That's insane.

Ah, hard to do if you do not give he line or the point

however
same slope if parallel so same m in
y = m x + b
then put in the x and y of your given point to get b