Question

Passes through (-6,-1) and is parallel to y=-2/3x+1

Answer 1

Answer:

y=-2/3x-6

Step-by-step explanation:

y=mx+b

m=-2/3

y-y=m(x-x1)

y-(-1)=-2/3(x-(-6))

y+1=-2/3x-4

-1 -1

y=-2/3x-5

Answer 2

Answer:

$y=-\frac{2}{3}x -5$

Step-by-step explanation:

Slope-intercept form:

$y=mx+b\\\\y=(slope)x+(y-intercept)$

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

When two lines are parallel, their slopes are the same. Take the slope from the given equation and insert into the new:

$y=-\frac{2}{3} x+b$

Now find the y-intercept. For this, insert the given coordinate points and the slope into the equation to solve for b:

$(-6_{x},-1_{y})\\\\-1=-\frac{2}{3} (-6)+b$

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

$-1=-\frac{2(-6)}{3} +b\\\\-1=-\frac{-12}{3} +b\\\\-1=\frac{12}{3} +b\\\\-1=4+b$

Use inverse operations to isolate the variable. Subtract 4 from both sides:

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

The y-intercept is -5. Insert:

$y=-\frac{2}{3}x -5$

:Done