Question

The line is given by equation y–1.5x = c. What is the value of c if the line passes through the point K (2, –3).

Answer 1

-6

Explanation:

The general equation of a line is given as y = mx+c

c is the intercept

m is the gradient or slope

Given the equation of a line to be

y–1.5x = c passing through the point (2,-3), to get c we will substitute the point into the equation

x = 2, y = -3

c = -3-1.5(2)

c = -3-3

c = -6

Answer 2

c = -6

Explanation:

To find the value of c to make the line pass through the point K = (2, -3), we just need to use the values of x = 2 and y = -3 in the equation, then we find the value of c.

So, we have that:

y - 1.5*x = c

(-3) - 1.5 * (2) = c

-3 - 3 = c

c = -6

So the value of c is -6

To check if the value is correct, we can use the value x = 2 and see if the value of y is -3:

y - 1.5*x = -6

y - 1.5*2 = -6

y - 3 = -6

y = -6 + 3 = -3

So it's correct.