# How do you write an equation in slope intercept form given the slope and a point?

##### 1 Answer

Slope Intercept form is y = mx + b, where

m = the slope and b = the y- intercept.

Slope is determined by formula

if you had the coordinates of two points on the line.

b is the point at which the line will cross (intercept) the y-axis.

If a problem asked for the slope intercept form and provides a slope and a single point on the line you could find the equation with two different methods.

**What is the slope intercept equation of a line with a slope of m = 3/4 and a point on the line of (4 , 5)?**

The first method is to us the slope-intercept equation and plug in values to solve for b.

5 =

5 = 3 + b (isolate b)

5 - 3 = b (simplify)

b = 2

The slope-intecept equation would be y =

The second method is to use the point-slope formula

Plug in the information and simplify for the equation.