Question

the graph pf a linear function passes through the points (4,21) and (12,35). write an equation for the function. Write your answers in the blank

Answer 1

y = 7x - 7

Explanation:

The equation for the function can be found using the slope-point form of a linear equation: y = mx + b, where m is the slope of the line and (x, y) is a point on the line.

To find the slope, we can use the two points:

m = (35 - 21) / (12 - 4) = 7

To find the y-intercept, we can substitute one of the points and the slope into the equation:

21 = 7 * 4 + b

Solving for b, we get:

b = 21 - 28 = -7

So, the equation of the line is:

y = 7x - 7