Question

If the graph of a linear function passes through the points (0,-4) and (1.5,3.5), then which of the following statement is false regrading the function.

• A. Y-intercept is -4
• B. x-intercept is 0.8
• C. Slope of the function is less than 1.
• D. At x = 1, y = 1

Answer 1

The correct option is C Slope of the function is less than 1.

Given the function passes through the points (0,-4) and (1.5,3.5)

Let's plot the points on the graph and draw a stright line

From the graph
1. We know that y-intercept is -4

2. From that graph we know that at x = 1 the value of y = 1


3. x-intercept = 0.8

4. For finding rate of change of the function, let us consider the two points, say (0,-4) and (1.5,3.5)

$\text{The rate of change}=\frac{\text{Change in y}}{\text{Change in x}}$

$=\frac{3.5-(-4)}{1.5-0}$

$=\frac{7.5}{1.5}$

$=5$
Hence ,slope of the function is 5, which is greater than 1.