Answer:
Step-by-step explanation:
a) The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The slope of the equation is given as - 3
The line passes through the point (7,-2)
To determine the intercept, we would substitute m = - 3, x = 7 and y = -2 into y = mx + c. It becomes
- 2 = - 3 × 7 + c = - 21 + c
c = - 2 + 21 = 19
The equation becomes
y = -3x + 19
b) the standard form is expressed as
Ax + by = C
We would substitute x = 7, y = - 2 and m = - 3 into the point slope equation, y - - 2 = - 3(x - 7)
y + 2 = - 3x + 21
3x + y = 21 - 2
3x + y = 19
The standard form is 3x + y = 19
