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3 years ago

Write the slope intercept form of the equation of the line.Help

Mathematics

2 answers:

White raven [17]3 years ago

8 0

Answer:

Our final equation is $\bold{y = \frac{1}{4}x + 3}.$

Step-by-step explanation:

We are given a coordinate point and the slope of a line. We need to know that:

The slope-intercept form of a line is $\text{y = mx + b},$ where <em>m</em> is the slope of the line and <em>b</em> is the y-intercept of the line.
The point-slope formula is y - y₁ = m(x - x₁).

We want to end up at the slope-intercept form of the equation. Therefore, we can use the point-slope formula and substitute our values and solve the equation.

$y - 2 = \frac{1}{4}(x - (-4))\\\\y - 2 = \frac{1}{4}x + 1\\\\\small\boxed{\bold{y = \frac{1}{4}x + 3}}$

Therefore, we have determined that our equation in slope-intercept form is $\bold{y = \frac{1}{4}x + 3}$ .

Sindrei [870]3 years ago

5 0

$\huge\boxed{y=\frac{1}{4}x+3}$

Hey! Let's start off with the point-slope form equation:

$y-y_1=m(x-x_1)$

In this equation, $m$ represents the slope and $(x_1, y_1)$ is the known point.

Substitute in the values we know:

$y-2=\frac{1}{4}(x-(-4))$

Subtracting a negative number is the same as adding a positive number.

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

Distribute the $\frac{1}{4}$ :

$y-2=\frac{1}{4}x+1$

Add $2$ to both sides to get the equation in slope-intercept form, which is $y=mx+b$ :

$\boxed{y=\frac{1}{4}x+3}$

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<h3>What is a translation?</h3>

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More can be learned about translation concepts at brainly.com/question/4521517

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Read 2 more answers