Question

Find the equation to the line below.y =[?-x ++ [ ]

Answer 1

Note that a line whose equation is in the form :

`y=mx+b`

has a slope of m

and a y-intercept of b

Slope is also equal to rise/run :

`m=\frac{\text{rise}}{\text{run}}`

where rise is the number of vertical units between two points and run is the number of horizontal units between two points.

Note also that upward and right movement is positive, downward and left movement is negative.

From the figure, the vertical units between two given points is 3 units upward, so this is positive.

The horizontal units between them is 2 units to the right which is also positive.

The slope will be :

`m=\frac{\text{rise}}{\text{run}}=(3)/(2)`

Next is to solve for b (y intercept).

y-intercept is the point where the line intersects the y-axis.

From the graph, the lines intersects at point (0, 2) on the y-axis

Therefore, the value of b is 2

Rewriting the equation, the answer is :

`\begin{gathered} y=mx+b \\ y=(3)/(2)x+2 \end{gathered}`