Question

Find the equation of a line that passes through the point (-3,-2) and has a gradient of 4.

Leave your answer in the form
y
=
m
x
+
c

Answer 1

Explanation:

in the form

y = mx + c

m is the gradient (or slope) of the line, and c is the y-intercept (the y-value when x = 0).

y = 4x + c

we get c by using the given point coordinates :

-2 = 4×-3 + c = -12 + c

10 = c

so the full equation is

y = 4x + 10