Suppose that a population begins at a size of 100 and grows continuously at a rate of 200% per year. Give the formula for calcul
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Answer:
The linear equation for the line with an x-intercept at (-5,0) and y-intercept at (0,4) is found as .
Step-by-step explanation:
A condition is given that a line has an x- intercept at (-5,0) and y- intercept at (0,4).
It is asked to find a linear equation satisfying the given condition.
To do so, first determine the slope of the line using coordinates of the given intercepts. Then write the equation in the slope-intercept form using the slope and the y- intercept.
Step 1 of 2
Determine the slope of the line.
The points of the intercepts of the line are given as (-5,0) and (0,4). Next, the formula for the slope is given as,
Substitute 4&0 for and
respectively, and 0&-5 for
and
respectively in the above formula. Then simplify to get the slope as follows,
Step 2 of 2
Write the equation in the slope-intercept form.
The slope-intercept form of a line is given as follows,
The coordinates at the y- intercept is (0,4). Now, as the y- coordinate is 4 , so b=4.
So, substitute 4 for b and for m in the equation y=mx+b, as follows,
This is the required linear equation.