Question

How do you write the equation of the line with (1, 7) and (2, 10)?

Answer 1

`y=3x+4`

Explanation:

`"the equation of a line in "color(blue)"slope-intercept form"` is.

`•color(white)(x)y=mx+b`

`"where m is the slope and b the y-intercept"`

`"to calculate m use the "color(blue)"gradient formula"`

`•color(white)(x)m=(y_2-y_1)/(x_2-x_1)`

`"let "(x_1,y_1)=(1,7)" and "(x_2,y_2)=(2,10)`

`rArrm=(10-7)/(2-1)=3/1=3`

`rArry=3x+blarrcolor(blue)"is the partial equation"`

`"to find b substitute either of the 2 given points into"`
`"the partial equation"`

`"using "(1,7)" then"`

`7=3+brArrb=7-3=4`

`rArry=3x+4larrcolor(red)"is the equation of line"`