Question

How do you find the slope and y intercept for y = 1.5x + 2.4?
(a) Using the slope-intercept form
(b) Using the graphical representation
(c) a and b both
(d) None of these

Answer 1

Hint: In the given problem, we are to find out the slope and the y intercept from the given equation. We will try to solve it by comparing it with slope-intercept form. By comparing we get the value of m and c, and such we get our solution. We can also find our needed value by drawing the line on a graph paper.

Complete step by step solution:
According to the question, we are given an equation of a straight line y = 1.5x + 2.4. And we are here asked to find out the slope and y intercept for the line.
We will start with transforming the equation into the slope-intercept form.
The slope intercept form says, y = mx + c, where m is the slope of the equation and c is the y intercept of the equation.
So, if we compare our given equation with the equation we have, we will get, m = 1.5 and c = 2.4.
Thus, we can conclude that we have our slope as, 1.5 and the y intercept as 2.4.
Again, drawing the line in a graph paper, we can see,

From the given graph, we can easily see that the line is cutting the y axis at the point ( 0, 2.4) and also having a positive slope 1.5.
Thus, it also gives us the needed solution.
So, the correct answer is “Option C”.

Note: This is always to be considered an easy problem to get the solution. But still we have to be cautious about the problem and the calculations given out there. Easier problems can get easily wrong with silly mistakes and give us wrong results. So, taking care of that is quite important.