Question

A straight line L is shown on the grid.

Answer 1

Answer:

y = 2x + 1

Step-by-step explanation:

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Answer 2

Answer:

y = 2x + 1

Step-by-step explanation:

Use slope-intercept form ( y = mx + b ) where m is the slope ( rise over run ) and the y-intercept is 1 because where x = 0, y =1.  You can either use rise over run to solve the slope or plug in an x and y value on the line and solve algebriacally.

Rise Over Run:

Take two values on the line, for example, (0,1) and (1,3)  y is the rise and x is the run, so write each one with y over x in fraction form.

(0,1) = $\frac{1}{0}$       (1,3) = $\frac{3}{1}$             then subtract the second value from the first

$\frac{3}{1}$  -  $\frac{1}{0}$  = $\frac{2}{1}$            which simplifies to 2. So the slope is 2.

Algebra:

plug a coordinate on the line into the equation y =mx + 1. For example (1,3)

3 = m(1) + 1       anything multiplied by 1 is itself so we can cancel out the 1 in the equation

3 = m + 1          subtract 1 from both sides

-1        -1

2 = m                each method shows the slope is 2 so now we can put it together into the answer, y = 2x + 1