Question

The table shows points that lie on a line.

Use the slope and y-intercept to write the equation of the line in slope-intercept form.

Answer 1

`y = 4*x+3`

Explanation:

First pick any 2 set of points to find the slope. I chose (1,7) and (3,15)

The slope formula is shown below

`m = (y_(2) - y_(1) )/(x_(2) - x_(1) )`

Now fill in the variables and solve

15 - 3 = 12

3 - 0 = 3

Divide

`12/3 = 4`

So the slope is 4

The y intercept is 3 since that is where x = 0

Now we can write the equation

`y = 4*x+3`

Answer 2

The equation of the line is y = 4x + 3.

The equation of the line in slope-intercept form, we need to find the slope and y-intercept of the line.

Slope: The slope of a line is equal to the change in y divided by the change in x. We can use any two points on the line to calculate the slope.

slope = (change in y) / (change in x)

slope = (15 - 3) / (3 - 0)

slope = 12 / 3

slope = 4

Y-intercept: The y-intercept of a line is the point where the line crosses the y-axis. This happens when x is equal to 0.

y-intercept = y when x is equal to 0

y-intercept = 3

Now that we know the slope and y-intercept of the line, we can write the equation of the line in slope-intercept form:

y = mx + b

y = 4x + 3

The equation of the line in slope-intercept form is y = 4x + 3.