Question
Determine the gradient and y-intercept from the following equation: 4x + y = -10
Hint:
Gradient is also called the slope of the line. The slope intercept form of the equation of the line is y = mx + c, where m is the slope of the line and c is the y-intercept. First we convert the given equation in this form. Further, we compare the equation with the standard form to get the slope and the y-intercept.
The correct answer is: Gradient = -4 y-intercept = -10
Step by step solution:
The given equation of the line is
4x + y = -10
We need to convert this equation in the slope-intercept form of the line, which is
y = mx + c, where m is the slope of the line and c is the y – intercept.
Rewriting the given equation, that is, keeping only the term containing y in the left hand side, we get
y = -4x - 10
Comparing the above equation with y = mx + c, we get
m = -4 ;c = -10
Thus, we get
Gradient = -4
y-intercept = -10
We need to convert this equation in the slope-intercept form of the line, which is
y = mx + c, where m is the slope of the line and c is the y – intercept.
Rewriting the given equation, that is, keeping only the term containing y in the left hand side, we get
Comparing the above equation with y = mx + c, we get
Thus, we get
Gradient = -4
We can find the slope and y-intercept directly from the general form of the equation too; slope =
and y-intercept = 
, where the general form of equation of a line is ax + by + c=0. Using this method, be careful to check that the equation is in general form before applying the formula.
Related Questions to study
Use the product of sum and difference to find 32 × 28.
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
Use the product of sum and difference to find 32 × 28.
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
