Question

What is What is the equation of the line that passes through the point (−4,2) and has a slope of 1/4 (1 over 4 is a fraction btw)

Answer 1

Answer:

B  = y - mx

  = 2 - (1/2)(-4)

 = 2 - -2

 = 4

y = (1/2)x + 4

Step-by-step explanation:

Answer 2

Answer:

You can choose the equation that you are familiar with.

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

or

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

Step-by-step explanation:

I'm not sure which formula you'd like me to use so I'll do both formula, the point-slope form and slope-intercept form.

We will be doing point-slope form first.

This is the point-slope form:

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

Since we already have the given information needed (the slope and the points), we just need to plug in.

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

Done!

-----------------------------------------------------

Let's do slope-intercept form now.

The is how the slope-intercept form looks:

$y = mx + b$

Even though we have some given information, we need to acquire more, the b, also known as the y-intercept (the m, is also known as the slope.).

Let's find it by plugging in and solving the equation.

$y = mx + b \\ 2 = \frac{1}{4}x + b \\ 2 = \frac{1}{4} ( - 4) + b \\ 2 = - 1 + b \\ \frac{ + 1 = + 1 \: \: \: \: \: \: \: \: \: \: \: }{3 = b \: \: \: \: \: \: \: \: \: \: \: }$

We found b (y-intercept), so now all we gotta do Is plug in for the final equation!

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

Done!