Mathematics

Grade-8

Easy

Question

# Match the function f(x) = - 3x -5 to the graph

Hint:

Mathematics

Grade-8

Easy

Question

Hint:

2. Negative slope represents a line that moves downwards from left to right and positive slope represents a line that moves upwards from left to right.

3. Y-intercepts refers to the value of y-coordinate on a line when x = 0.

f(x) = - 3x - 5

TO FIND-

Graph of the given function from the given options.

SOLUTION-

Comparing the given function i.e. f(x) = - 3x -5 with y = mx + b, we get-

Slope = m = -3 and y-intercept = -5.

Now, since the slope of the given function is negative, the line should move downwards from left to right.

Hence, options a and d are eliminated as they are moving upwards from left to right.

Also, y-intercept for the given function = -5 i.e. it passes through point (0,-5).

Hence, option b is also eliminated.

FINAL ANSWER-

Option 'c' is the correct answer to the given question.