Question What is the point-slope form of the equation of the line that passes through the point (-3,-4) and has a slope of 2?

Answer: y=2x+2 Step-by-step explanation: To find the point-slope form of the equation we need to get the slope-intercept form of (-3,-4) and 2 (Slope intercept form formula is y=mx+b) (m is slope) (b is y-intercept) So we know that the slope of this equation is 2 so we can replace m with 2 since the slope is 2 and m is slope. Equation will look like this: y=2x+b Now we need to find the b or y-intercept of the equation to do this the (-3,-4) come into play: replace x with -3 and replace y with -4 (x,y) -3 is x since it is the same spot in (-3,-4) and -4 is y since it is in the same spot in (-3,-4) Replace: -4=2(-3)+b Multiply 2 and -3: -4=-6+b Move 6 to the other side by adding 6 on both side: 6-4=-6+6+b Simplify 2=b Now the equation looks like this: (If you replace b with 2 in y=2x+b) y=2x+2 Answer: y=2x+2 (Point-slope form is the same thing as slope-intercept form) Log in to Reply

Answer:y=2x+2

Step-by-step explanation:To find the point-slope form of the equation we need to get the slope-intercept form of (-3,-4) and 2

(Slope intercept form formula is y=mx+b) (m is slope) (b is y-intercept)

So we know that the slope of this equation is 2 so we can replace m with 2 since the slope is 2 and m is slope.

Equation will look like this:

y=2x+b

Now we need to find the b or y-intercept of the equation to do this the (-3,-4) come into play: replace x with -3 and replace y with -4

(x,y) -3 is x since it is the same spot in (-3,-4) and -4 is y since it is in the same spot in (-3,-4)

Replace:

-4=2(-3)+b

Multiply 2 and -3:

-4=-6+b

Move 6 to the other side by adding 6 on both side:

6-4=-6+6+b

Simplify

2=b

Now the equation looks like this: (If you replace b with 2 in y=2x+b)

y=2x+2

Answer:y=2x+2 (Point-slope form is the same thing as slope-intercept form)Answer:y=2x+6

Step-by-step explanation: