Question

Please help guys I’m really struggling

Answer 1

`y - 4 = - 4(x + 2)`

Explanation:

Point Slope Form is a algebraic formula when we know a pair of points and it

slope.

It can be represented by

`y - y_(1) = m(x + x _(1))`

where m is the slope and x 1 and y 1 are the points we know.

The coordinates we know are (-2,4) so we just plug it in.

We also know the slope of the line is rise/run. Look at point (-2,4). The next consecutive point before that is x intercept (-1,0). Let use the slope formula to find the slope

`(0 - 4)/( - 1 - ( - 2)) = ( - 4)/(1) = - 4`

So the slope or m is -4. Plug this in and the coordinates into point slope formula.

`y - 4 = - 4(x - ( - 2)`

`y - 4 = - 4(x + 2)`

That the answer.

Answer 2

Answer: y = -4x - 4

Explanation:

Point slope form: y - y1 = m(x - x1)

Plug in y1 and x1, and m. M is the slope, x1 and y1 are the values for a coordinate. You don't need to plug anything in for y or x, just y1 and x1.

First, find the slope. To find the slope, use this "formula" :
`slope=(rise)/(run) =(y1-y2)/(x2-x1)`

Find two coordinate points. Let's use (-2,4) and (0,-4). Based on this, we know that y1 is 4, y2 is -4, x1 is -2, and x2 is 0. Plug these into the formula:

`(4--4)/(-2-0) =(4+4)/(-2) =(8)/(-2)=-4`

Then, pick any point to plug into the equation. Let's use (0,-4)

Finally, plug everything into the equation:

y - - 4 = -4(x - 0)

y + 4 = -4x

y = -4x - 4