a) The equation in point-slope form that represents this linear function is y - 124 = 1.2(x - 5).
b) The equation in slope-intercept form that represents this linear function is y = 1.2x + 118.
What is the difference between point-slope and slope-intercept forms?
There is basically no difference, except that the point-slope form is written with two coordinates of a point while the slope-intercept is written without the coordinates.
We can compute the slope between two points by estimating rise over run – the difference in height over a distance between two points.
Point-slope form and slope-intercept form are two types of the same linear equation.
Point-slope form:
y − y₁ = m (x = x₁)
where:
x₁, y₁ = the coordinates of a point
m = the slope
= y - 124 = 1.2(x - 5)
Slope-intercept form:
y = 1.2x + 118
Complete Question:
The number of students in a school has been increasing at a constant rate. The table shows the number of students in the school for certain numbers of years since 1995.
Years since 1995 Number of Students
0 118
5 124
10 130
a. Write an equation in point-slope form that represents this linear function.
b. Write the equation in slope-intercept form.