Question

Which equation is a point slope form of the equation of this line? picture in reply box

Answer 1

a.-2x+y+5=0
b.y=2x-5
c.(y+1)=-1/2(x-2)
d.(y-1)=2(x+2)

Answer 2

Hint:
Here are some different forms of linear equations:
1. General form : Ax+By+C=0
2. Point slope form : (y-y1)=m(x-x1)
3. Slope intercept form: y=mx+b
4. symmetric form: x/a+y/b=1

Answer 3

point slope form

Answer 4

@ggscupcakes443
I provided with you a list of the different forms of linear equations.
I expect you to examine what point-slope form looks like, and hence find the correct answer from the given choices.

Answer 5

its d?

Answer 6

You ask if d is a correct choice:
\[(y-1)=2(x+2)\]

Point-slope form is \[y-y_0 = m(x-x_0)\] where the line of slope \(m\) passes through point \((x_0,y_0)\)

So, to check your answer, we need to verify that the slope is correct, and that the point is on the line.

Answer 7

the slope is 2x thats why i picked d but the y intercept isnt 2 it is 5 so its not d

Answer 8

First, the slope: we can find the slope from the two points indicated on the graph, or any two points which we can confidently identify by inspection.

Our points are \((1,7)\) and \((-2,1)\) so using the slope formula
\[m = \frac{y_2-y_1}{x_2-x_1} = \frac{7-1}{1-(-2) = 2\checkmark\]

Answer 9

im finding it wait

Answer 10

slope is 2x

Answer 11

make that \[m = \frac{y_2-y_1}{x_2-x_1} = \frac{7-1}{1-(-2)} = 2\checkmark\]

slope is good. Now compare the formula with the template:

\[(y−1)=2(x+2)
\]\[y-y_0 = m(x-x_0)\]
for those to be equivalent, we must have
\[y-1 = y-y_0\]or\[y_0 = 1\]

similarly,
\[2(x+2) = m(x-x_0)\]\[2(x+2) = 2(x-x_0)\]\[x+2 = x-x_0\]\[x_0 = -2\]so our point in the point-slope formula would be \((-2,1)\)

Does our graph include the point \((-2,1)\) on the line? If it does, then d is a correct answer.

Answer 12

yes so its d

Answer 13

thanks

Answer 14

another approach would be to convert the formula into slope-intercept form and check that slope is correct and y-intercept is correct.

\[y-1 = 2(x+2)\]\[y-1 = 2x + 4\]\[y = 2x+5\]
Slope of 2, y-intercept of 5, and the line does have a slope of 2 and a y-intercept of 5.

Answer 15

i have another one