Question

Graph a line that contains (4,3) and has a slope of 1/2

Answer 1

Equation of line is

y = 0.5x + 1

Explanation:

The general equation of the line in slope-intercept form is

y = mx + b

where m is the slope and b the y intercept

Slope is given as
`(1)/(2)`

So equation is

`y = (1)/(2)x + b`

To find b, plug in x, y values of the point (4,3) and solve for b

`3 = (1)/(2)\cdot 4 + b\\\\3= 2 + b\\\\\\b = 1\\\\\\\textrm{Equation of line is }\\y = (1)/(2)x + 1`

or

y

Plug this into your graphics calculator and you should get the graph