Question

Passes through (2,-4) parallel to y = 1/2x + 5

Answer 1

Answer:

$y=\frac{1}{2} x-5$

Step-by-step 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:

$y=\frac{1}{2} x+b$

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

$-4=\frac{1}{2} (2)+b$

Solve for b.

Simplify multiplication. Follow the rule $\frac{a}{b} *c=\frac{ac}{b}$:

$-4=\frac{1*2}{2} +b\\\\-4=1+b$

Isolate the variable. Subtract 1 from both sides:

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

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

$y=\frac{1}{2} x-5$

:Done

Answer 2

Answer:

5

Step-by-step explanation:

UR MOM SAID 5 ok im joking uts 5 trust me

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