slope intercept

Question

through(1,-2) parallel to y =-4x+4

Answer 1

The slope intercept form for a line is y = mx + b. In this format, m is the slope, and b is the y-intercept. To solve for a new line given a particular point, you must first determine the slope of the new line.

Parallel lines will have the same slope as one another whereas perpendicular lines will have negative reciprocal slopes (flip the number/fraction and change the sign).

Here, the slope of your line is -4. That means a parallel line will have the same slope (-4) and a perpendicular line will have a negative reciprocal slope (-4 = -4/1 ---> 1/4).

Once you have found the slope, plug it and your point into the formula y = mx + b and solve for b. Since the coordinate is (1, -2), 1 will replace x and -2 will replace y.

-2 = -4(1) + b.

-2 = -4 + b

+2 = b

Once you have solved for b, rewrite the formula with your b and slope for the new line.

y = -4x + 2

Answer 2

y=-4x + b

-2 =-4 +b

b= 2

y=-4x +2 is the parallel line through the point (1,-2). Parallel lines have the same slope = coefficient of x term