Question

In slope-intercept form, what is the equation of the line passing through the points (3,17) and (7,25)

Answer 1

`y=2x+11`

Explanation:

The slope is found using the formula:

`m=(y_2-y_1)/(x_2-x_1)`

Plug in the values to get;

`m=(25-17)/(7-3)=2`

`m=2`

The slope-intercept form is given by;

`y=mx+c`

Plug in the slope

`y=2x+c`

Use (3,17) to find the value of c.

`17=2(3)+c`

`17=6+c`

c=17-6=11

The slope-intercept form is;

`y=2x+11`

Answer 2

Answer:
`y=2x+11`

Explanation:

The slope-intercept form of a line is:

`y=mx+b`

Where m is the slope and b is the intersection of the line with the y-axis.

Find the slope with:

`m=(y_2-y_1)/(x_2-x_1)\\\\m=(17-25)/(3-7)\\\\m=(-8)/(-4)\\\\m=2`

Substitute the slope and one of the given points into
`y=mx+b` and solve for "b":

`17=2(3)+b\\\\17=6+b\\b=11`

Then you get:

`y=2x+11`