The true statements are the y-intercept is 3 and the slope of the line is 1/8
Functions and values
Given the function shown;
-1/4x + 2y = 6
In order to determine if (4,5) is on the line, we will substitute the value of x and determine if it equal to the value of y
-1/4(4) + 2y = 6
-1 + 2y = 6
2y = 6+1
y = 7/2
y = 3.5
Hence the coordinate (4, 5) is not on the line
Determine the y and x-intercept
If y = 0
-1/4x + 2(0) = 6
-1/4x = 6
x = -24
Hence the x-intercept is -24
If the value of x = 0
-1/4(0) +2y = 6
2y =6
y = 6/2
y = 3
Hence the y-intercept is 3
Find the slope
-1/4x + 2y = 6
2y = 1/4x + 6
y = 1/8x + 3
Hence the slope of the line is 1/8
The true statements are the y-intercept is 3 and the slope of the line is 1/8
Learn more on equation of a line here:https://brainly.com/question/13763238
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