the point (3,-7) and (0,x) lie on the same line. If the slope of the line is 4, what is the value of x
We can use the formula for the slope of a line to determine the value of x.
The formula for slope is:
m = (y₂ - y₁) / (x₂ - x₁)
Let's use the coordinates of the two points to find the slope:
(3, -7) and (0, x)
From the first point, (3, -7), we have:
x₁ = 3
y₁ = -7
From the second point, (0, x), we have:
x₂ = 0
y₂ = x
Substituting these values into the slope formula, we get:
4 = (x - (-7)) / (0 - 3)
Simplifying further:
4 = (x + 7) / -3
To isolate x, we cross multiply:
4(-3) = x + 7
-12 = x + 7
Subtracting 7 from both sides:
-12 - 7 = x
Simplifying:
-19 = x
Therefore, the value of x is -19.