# How do you write the equation of line given x-intercept of 4 and a slope of 3/4?

##### 2 Answers

#### Explanation:

The equation of a line in

#color(blue)"slope-intercept form"# is

#color(red)(|bar(ul(color(white)(a/a)color(black)(y=mx+b)color(white)(a/a)|)))#

where m represents the slope and b, the y-intercept.Here we have a coordinate point (4 ,0) and

#m=3/4# So

the partial equationis#y=3/4x+b# and to find b we substitute x = 4 and y = 0 into the partial equation.

#rArr0=3/cancel(4)xxcancel(4)+b=3+brArrb=-3#

#rArry=3/4x-3" is the equation"#

#### Explanation:

Let

where

We are told that

and

the **x-intercept** is

If the x-intercept is

this means that

So our general equation:

becomes

and our equation is

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Using the above logic we can see that the general case when given

a slope of

an **x**-intercept of

is