Question

PLS HELP RN Write an equation that represents the line (-7, -3) and (-2, 4)

Answer 1

`y=(7)/(5)x+(34)/(5)`

Explanation:

To write an equation that represents the line that passes through points (-7, -3) and (-2, 4), first find the slope (m) by substituting the two points into the slope formula:

`m=(y_2-y_1)/(x_2-x_1)=(4-(-3))/(-2-(-7))=(7)/(5)`

Now, substitute the found slope (m = 7/5) and one of the points (-7, -3) into the point-slope form of a linear equation:

`y-y_1=m(x-x_1)`

`y-(-3)=(7)/(5)(x-(-7))`

`y+3=(7)/(5)(x+7)`

`y+3=(7)/(5)x+(49)/(5)`

`y=(7)/(5)x+(34)/(5)`

Therefore, the equation of the line that passes through the (-7, -3) and (-2, 4) is:

`\Large\boxed{\boxed{y=(7)/(5)x+(34)/(5)}}`