Answer:
y = -2x + 7
Explanation:
y = 1 - 2x can be written
y = -2x + 1
Parallel lines have the same slope. The slope for the parallel line is -2. This is the number before the x.
To write an equation in the slope intercept form, we need the slope and the y-intercept. We have the slope. To find the y-intercept will will use the slope, and the values y (3,1) and the value of x (3,1) from the point given
substitute 1 for y, -2 for m, and 3 for x.
y = mx + b
1 = (-2)(3) + b
1 = -6 + b Add 6 to both sides
1 + 6 = -6 + 6 + b
7 = b
The y-intercept is 7.
Substitute -2 for m and 7 for b to write the equation
y = mx + b
y = -2x + 7
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