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3 years ago

I NEED HELP!!! I DONT KNOW WHAT TO DO!

Mathematics

2 answers:

Maksim231197 [3]3 years ago

8 0

Answer:

Step-by-step explanation:

The first three equations work but the last one doesn't.

larisa86 [58]3 years ago

7 0

Answer:

Step-by-step explanation:

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ( = (2, 3) and (x₂, y₂ ) = (4, - 7)

m = $\frac{-7-3}{4-2}$ = $\frac{-10}{2}$ = - 5

y = - 5x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (2, 3 ), then

3 = - 10 + c ⇒ c = 3 + 10 = 13

y = - 5x + 13 ← equation in slope-intercept form (1)

Add 5x to both sides

5x + y = 13 ← equation in standard form (2)

We can also express the equation in point- slope form

y - b = m(x - a )

where (a, b ) is a point on the line → using (4, - 7), then

y + 7 = - 5(x - 4 ) ← equation in point- slope form (3)

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