(-7,1) is a solution to the inequality y<0.5x+9
Answer:
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Step-by-step explanation:
We need to convert this equation to slope-intercept form first.
We can do that by solving for y.
x - 5y = 15
<em><u>Add 5y to both sides.</u></em>
x = 5y + 15
<em><u>Subtract 15 from both sides.</u></em>
x - 15 = 5y
<em><u>Divide both sides by 5.</u></em>
y = 1/5x - 3
We now know the slope is 1/5.
The slope of the line perpendicular to the line with a slope of 1/5 is -5.
The slope of a perpendicular line is the negative reciprocal of the original slope.
Using a graphing calculator, we know the y-intercept of the line that is perpendicular to the original line must have a y-intercept of -6 to run through the points (-2, 5).
The equation of the new line is y = -5x - 6.
The slope-intercept form: y = mx + b
We have the slope m = 9, therefore: y = 9x + b.
Next. We have the table:
x | -5 | -2 | 1 | 3 | 4 |
y |-46|-19| 8 |26|35|
(1, 8) → x = 1, y = 8
substitute the values of x and y to the equation:
8 = 9(1) + b
8 = 9 + b |-9
b = -1
Answer: y = 9x - 1 → y-intercept is -1.
