Question

Find the equation of line (use exact numbers)​

Answer 1

Answer:

$y=3x+3$

Step-by-step explanation:

Use the slope-intercept form:

$y=mx+b$

m is the slope and b is the y-intercept. The y-intercept is the place where x is equal to 0, and the slope is the change in the y-axis over the change in the x-axis, otherwise known as rise over run ( $\frac{rise}{run}$ ).

If you study the graph, you can see that the line crosses the y-axis at (0,3), so 3 is the y-intercept. Insert into the formula:

$y=mx+3$

Now find the slope. Use the slope formula:

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}$

You need two points first. You can use the y-intercept (0,3) and another even point, like (1,6). Insert the values:

$(0_{x1},3_{y1})\\(1_{x2},6_{y2})\\\\\frac{6-3}{1-0}=\frac{3}{1}=3$

The slope is 3. Insert this value:

$y=3x+3$

:Done