Question

Can someone help please?
A line has a slope of 2 and includes the points (4,-7) and (g,-3). What is the value of g?

Answer 1

Answer:

g = 6

Step-by-step explanation:

To find the slope you do:

m = change in y ÷ change in x or (y2 - y1) ÷ (x2 - x1)

• x1 = 4, y1 = -7
• x2 = g, y2 = -3
• m (the slope) = 2

Sub in the values:

2 = (-3 - -7) ÷ (g - 4) - we can simplify this

2 = (4) ÷ (g - 4)

4 divided by what gives us 2? 2. This means that g - 4 = 2, g = 2 + 4 which is 6:

g = 6

Hope this helps!

Answer 2

Answer:

g = 6

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 2

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

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

m = $\frac{-3-(-7)}{g-4}$ = $\frac{-3+7}{g-4}$ = $\frac{4}{g-4}$ , then

$\frac{4}{g-4}$ = 2 ( multiply both sides by g - 4 )

4 = 2(g - 4) ← divide both sides by 2

2 = g - 4 ( add 4 to both sides )

6 = g