Answer:
Step-by-step explanation:
Use the slope formula to find the slope:
Insert the values:
The slope is 1/3.
You can do this two ways. You can solve using slope-intercept and solve for b, <em>or</em> use point-slope form, then simplify to slope-intercept
Use the slope-intercept form:
where:
- m is the slope
- b is the y-intercept
- x and y are corresponding coordinate points (x,y)
Insert the slope and one of the given coordinate points:
Solve for the y-intercept. Simplify:
Subtract 1/3 from both sides:
Subtract. Find the common denominator:
Insert:
The y-intercept is 5/3. Insert:
<em>or</em>
<em></em>
Use point-slope form:
where:
- m is the slope
- x1 and y1 are corresponding coordinate points
Insert values:
Simplify the equation by solving for y. This will result in the slope-intercept form. Simplify multiplication using the rule :
Isolate the variable. Add 2 to both sides:
Simplify to slope-intercept form, y=mx+b. Use the rule :
Combine like terms. Find a common denominator:
Insert:
Use the rule :
:Done