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1 year ago

What is the equation in slope-intercept form of a line (y = mx + b) that has aslope of 3 y-intercept of 6?

Mathematics

1 answer:

arsen [322]1 year ago

5 0

The equation of the line is y = 3x + 6

<h3>What are linear equations?</h3>

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

<h3>How to determine the equation of the line?</h3>

The given parameters are

Slope, m = 3

y-intercept, c = 6

A linear equation is represented as

y = slope * x + y-intercept

i.e.

y = mx + c

So, we have

y = 3x + 6

Hence. the linear equation is y = 3x + 6

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3 years ago

What is the equation in slope-intercept form for the line that passes through the points (–1, 3) and (–2, –3)?

Ede4ka [16]

Answer:

The answer is y = 6x + 9.

Step-by-step explanation:

☆Remember: $m = \frac{y_2 - y_1}{x_2 - x_1}$

☆Slope-intercept: $y = mx + b$

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☆We need to find the slope first. So just plug in according to the slope formula!

$m = \frac{ - 3 - 3}{ - 2 - ( - 1)} = \frac{ - 6}{ - 1} = 6$

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☆Now we need to find the y-intercept. We are going to plug in the slope and a set of coordinates to find the y-intercept.

$y = mx + b \\ 3 = 6( -1 ) + b \\ 3 = - 6 + b \\ \frac{ + 6 = + 6 \: \: \: \: \: \: \: \: \: \: }{9 = b \: \: \: \: \: \: \: \: \: \: \: }$

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☆Now all we need to do is plug in and we are done!

$y = 6x + 9$

▪Happy To Help <3

5 0

3 years ago

Which graph represents f(x)=(x+2)^2-3

Shtirlitz [24]

X has 2 added to it so the graph is shifted to the left of the y axis. The end of the equation is -3 so the graph is also shifted 3 units below the x axis..

The correct graph would be A.

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3 years ago

Read 2 more answers