The slope of the straight line is -1/2 whereas the y-intercept is 3/8.
<h3>What is defined as the equation of line in slope intercept form?</h3>
Recognize that the y-intercept is the point at which the graph intersects the y-axis; that's where we usually begin.
- Determine the slope first, then the y-intercept. For the time being, just consider if the slope is either positive or negative.
- The following are the variables that we will begin to use in our function:
- slope = m
- b = the y-intercept
- The formula is y = mx + b. The variables x and y remain alphabets, but m and b have been replaced by numbers (for example, y = 2x + 4, slope = 2, and y-intercept = 4).
Because the two quantities in the equation are now the slope and the intercept, this equation is known as the slope-intercept form.
y = mx + b
Remember that the slope (m) is the number multiplied by x, while the intercept (b) is indeed the number added or subtracted.
The given equation is;
4x + 8y = 3
Re-arranging the equation;
8y = -4x + 3
Divide the whole equation by 8.
y = -4x/8 + 3/8
Further simplifying;
y = -x/2 + 3/8
Comparing the result with the general form of equation.
m = -1/2; which is the slope.
c = 3/8; which is the y-intercept.
Thus, the values for slope and y-intercept are estimated.
To know more about the slope-intercept form, here
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The correct question is-
Find the -intercept and the slope of the line 4x + 8y=3. Write your answers in simplest form.
