126k views
3 votes
Passes through (2,-4) parallel to y = 1/2x + 5

User Jfortunato
by
4.6k points

2 Answers

4 votes

Answer:


y=(1)/(2) x-5

Explanation:

Slope-intercept form:


y=mx+b

where:

  • m is the slope
  • b is the y-intercept
  • x and y are corresponding coordinate points

When two lines are parallel, their slopes are the same. Mak a new equation with the same slope:


y=(1)/(2) x+b

Now we need to find the value of b. Insert the given point for x and y:


-4=(1)/(2) (2)+b

Solve for b.

Simplify multiplication. Follow the rule
(a)/(b) *c=(ac)/(b):


-4=(1*2)/(2) +b\\\\-4=1+b

Isolate the variable. Subtract 1 from both sides:


-4-1=1-1+b\\\\-5=b

The y-intercept is -5. Insert, replacing the "+":


y=(1)/(2) x-5

:Done

User Jack Hu
by
4.4k points
6 votes

Answer:

5

Explanation:

UR MOM SAID 5 ok im joking uts 5 trust me


  1. √(x)
User Gerson Diniz
by
4.2k points