Question

Question #bf300

Answer 1

`y=8x-25`

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(red)(bar(ul(|color(white)(2/2)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(2/2)|)))`

`"let "(x_1,y_1)=(3,-1)" and "(x_2,y_2)=(4,7)`

`rArrm=(7-(-1))/(4-3)=8`

`rArry=8x+blarrcolor(blue)" is the partial equation"`

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

`"using "(4,7)`

`7=32+brArrb=7-32=-25`

`rArry=8x-25larrcolor(red)"in slope-intercept form"`