3 years ago

Write the equation 12 − y = 2x − 5 in slope-intercept form. What are the slope and y-intercept?

Mathematics

1 answer:

Burka [1]3 years ago

7 0

Slope: -2
Y-intercept: 12

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Write the equation of a line parallel to y= 2x + 2 that passes through the point (-1,-7). Show your work.

oksian1 [2.3K]

Answer:

$\large\boxed{y=2x-5}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

Parallel lines have the same slope. Therefore if given line is

$y=2x+2$

then the slope of our line is $m=2$ .

We have the equation:

$y=2x+b$

The line passes through (-1, -7). Put the coordinsted pf the point to the equation:

$-7=2(-1)+b$

$-7=-2+b$ <em>add 2 to both sides</em>

$-5=b\to b=-5$

Finally:

$y=2x-5$

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