in the generalized slope-intercept equation of a line, the slope of the line is
represented as the coefficient of the variable x.
a. true
b. false

A. True

Step-by-step explanation:

A generalized slope-intercept equation of a line is of the form:

Where, 'm' is the slope of the line and 'b' is the y-intercept of the line.

The slope is the rate of change of 'y' with respect to changing 'x'. The slope of a line can be positive or negative.

If 'y' increases with 'x', slope is positive. If 'y' decreases with 'x', slope is negative.

In the above equation, the term that is multiplied to 'x' is called the coefficient of 'x'. Here, 'm' is multiplied to 'x'.

Therefore, the coefficient of 'x' in the above equation is 'm'. Thus, from the generalized equation, one can conclude that the coefficient of 'x' in the equation represents the slope of the line.

Hence, the statement is TRUE.

step-by-step explanation:

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.