Answer:
k = 6.5
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 )
y = 2x + c ← is in this form
From the graph the line crosses the y- axis at - 3 ⇒ c = - 3, thus
y = 2x - 3 ← is the equation of the line
The y- coordinate of the required point is 10, so
Substitute y = 10 into the equation and solve for x
2x - 3 = 10 ( add 3 to both sides )
2x = 13 ( divide both sides by 2 )
x = [tex]\frac{13}{2}[/tex] = 6.5
Hence k = 6.5
