Question

What is the equation of a line that passes through the point (1, 3) and is parallel to a line with a slope of -2?​

Answer 1

y =-2x+5.

Explanation:

lines that are parallel have the same slopes. Let us plug in our slope and given point into the slope-intercept form y = mx + b. Remember, (1, 3) = (x, y)

3 = (-2) × 1 + b. Let us solve for b ,the y-intercept.

3 = -2 + b.

b = 2 + 3

b = 5.

Thus, the equation would be

y = -2x + 5