Question

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

Answer 1

Answer:

the answer is D

how to try the values of the x and y

(x,y)

Answer 2

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: $m = \frac{y2 - y1}{x2 - x1}$

Now plugging in our values, $m = \frac{4 - (-3)}{-7 - (-2)} = \frac{4 + 3}{-7 + 2} = \frac{7}{-5} = \frac{-7}{5}$

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,

$y - (-3) = \frac{-7}{5}(x - (-2))\\y + 3 = \frac{-7}{5}(x + 2)$

So the answer should be option D.