Question

Write an equation of a line through (-1,3) and parallel to the line y-5=2(x-2) in point slope form

Answer 1

EXPLAIN

Use the given slope and point to substitute into the point-slope formula

y − y1 = m (x − x1)

slope-intercept form:

y = 2x^2 - 2x - 1

point-slope form:

y - 3 = 2 (x-2) times (x + 1)

NOT SURE IF THIS IS CORRECT ITS JUST WHAT I HAVE LEARNED SO SO SO SORRY IF THIS IS WRONG

Answer 2

y - 3 = 2(x + 1)

Explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y - 5 = 2(x - 2) ← is in point- slope form

with slope m = 2

• Parallel lines have equal slopes

using m = 2 and (a, b ) = (- 1, 3 ) , then

y - 3 = 2(x - (- 1) ) , that is

y - 3 = 2(x + 1) ← equation of parallel line