Question

Write the point slope form of an equation of the line through the points

Answer 1

Equation of a line:
`y = mx + c`, where m is the slope and c is the y-intercept. To calculate the slope, we do so using the formula:
`m = (y2 - y1)/(x2 - x1)`

Now plugging in our values,
`m = (4 - (-3))/(-7 - (-2)) = (4 + 3)/(-7 + 2) = (7)/(-5) = (-7)/(5)`

So our slope m, is = -7/5

We can now input the value of the slope. But in this question, we cannot use the above equation of a line since we are asked to use a point-slope equation expression, so the equation is
`y - y1 = m(x - x1)`

Now we plug in our values,

`y - (-3) = (-7)/(5)(x - (-2))\\y + 3 = (-7)/(5)(x + 2)`

So the answer should be option D.

Answer 2

the answer is D

how to try the values of the x and y

(x,y)