Question

Write an equation for the function g represented in the graph. Explain how to determine if the point (70, −205) is on the graph of function g.
Justify whether the point (70, −205) is on the graph of function g.

Answer 1

The equation of the given line is y = -3x + 5 and the coordinate point (70, -205) is on the line.

How to find the equation of a straight line

The equation of a straight  line in slope-intercept form is expressed as:

y = mx + b

where:

m is the slope

b is the y-intercept

Using the coordinate points (0, 5) and (1, 2), the slope of the line is calculated as:

m = 2-5/1-0

m = -3/1

m = -3

Since the line cuts the y-axis at b = 5, hence the y intercept is 5. The required equation of  the line is y = -3x + 5

Check if (70, -205) is on the line

If  x= 70, calculate the value of "y"

y = -3(70) + 5

y = -210 + 5

y = - 205

Since the corresponding y-value is -205, hence the coordinate point (70, -205) is on the line.

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