SOLUTION: Write the slope-intercept form of the equation with the given characteristics. 1. Slope = 3/2, y - intercept is at (0,-4) 2. Passes through (3,-1) and (4,-6) 3. Parallel to the

Question 1063510: Write the slope-intercept form of the equation with the given characteristics.
1. Slope = 3/2, y - intercept is at (0,-4)
2. Passes through (3,-1) and (4,-6)
3. Parallel to the line y = -4x + 2, and passes through (1,-3)
Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
Write the slope-intercept form of the equation with the given characteristics.
1. Slope = 3/2, y - intercept is at (0,-4)
Use the equation y = mx + b where m is the slope and b is the y-intercept.
Given: m = 3/2 and b = -4
Hence the equation of the line is
2. Passes through (3,-1) and (4,-6)
First, compute the slope.
The slope is equal to "change in y" divided by "change in x"
slope, m =
Next, we use the point-slope form
We choose (, ) = (3, -1)
y - (-1) = -5(x - 3)
y + 1 = -5x + 15
is the equation of the line

3. Parallel to the line y = -4x + 2, and passes through (1,-3)
Use the fact that parallel lines have equal slopes.

y - (-3) = -4(x - 1)
y + 3 = -4x + 4

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