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2 years ago

Write the equation of the line in fully simplified slope-intercept form…. pleaseee help

Mathematics

1 answer:

inysia [295]2 years ago

7 0

Answer:

y = -x + 2

Step-by-step explanation:

Given the two points on the graph, (-2, 4) and (0, 2), we can start by solving for the slope of the line.

Let (x₁, y₁) = (-2, 4)

(x₂, y₂) = (0, 2)

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (2 - 4) / [0 - (-2)]

m = -2/ (0 + 2)

m = -2/2 = -1

Therefore, the slope of the line is -1.

Next, we need to determine the y-intercept of the line, which is the point on the graph where it crosses the y-axis. Upon observing the graph, it is evident that it crosses the y-axis at point (0, 2), which happens to be one of the points we used to solve for the slope. Its y-coordinate, y = 2, is what we will use as the value of b in the slope-intercept form, y = mx + b.

Therefore, given the slope, m = -1, and the y-intercept, b = 2, the equation of the line is:

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2 years ago

On the grid draw the graph of y = 3x + 2 for values of x + 2 for values of x from -2 to 2

sladkih [1.3K]

Answer:

The required graph is shown below.

Step-by-step explanation:

Consider the provided equation $y=3x+2$

We need to draw the graph of the equation.

Put x=0 in the above equation.

$y=3(0)+2$

$y=2$

The coordinate is (0,2).

Put y=0 in the given equation.

$0=3x+2$

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

The coordinate is ( $\frac{-2}{3}$ ,0).

Now draw the graph by using the above coordinates.

The required graph is shown below.

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2 years ago

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Hope this helps!

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2 years ago

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