The point slip form of a line that has a slope of 1/4 and passed through the point (3,0) is shown. Y-0=1/4(x-3) what is the equation in slope intercept form

Question

asked Nov 3, 2020 204k views

2 Answers

Atef · Answer 1 · 2020-11-08T04:29:44+0000

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

According to the data we have to:

$m = \frac {1} {4}$

Then, the equation is of the form:

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

We substitute point (3.0):

$0 = \frac {1} {4} (3) + b\\b = - \frac {3} {4}$

Finally, the equation is:

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

Answer:

Option B