Question

Write an equation of the line in point-slope form that passes through the given points in the table. Then write the equation in slope-intercept

form.

x

15

20

25

30

35

HHH

у

160

200

240

280

320

An equation of the line in point-slope form is

Answer 1

Step-by-step explanation:

line. We can use the formula:

slope = (change in y) / (change in x)

Using the points (15, 160) and (35, 320), we have:

slope = (320 - 160) / (35 - 15)

slope = 160 / 20

slope = 8

So the slope of the line is 8. Now we can use the point-slope form of the equation of a line, which is:

y - y1 = m(x - x1)

where m is the slope, and (x1, y1) is a point on the line.

Using the point (15, 160), we have:

y - 160 = 8(x - 15)

This is the equation of the line in point-slope form. To write it in slope-intercept form, we can simplify and solve for y:

y - 160 = 8x - 120

y = 8x + 40

So the equation of the line in slope-intercept form is y = 8x + 40.