Aline goes through the points (8,9) and (-2,4)

what is the slope of the line? show your work
write the equation of the line in point-slope form. show your work
write the equation of the line in slope-intercept form. show your work.

slope of line = 2

equation of line in slope-intercept form is y = 2x - 7.

equation of line in point intercept form is 2x - y = 7.

Step-by-step explanation:

Point A = (8, 9)

Point A = (-2, 4)

Slope of line =

Equation of line in y intercept form is y = mx + c, where m is slope and c is y intercept

since m = 2 ∴ y = 2x + c

Now, Since line is passing through the point (8, 9) ∴ x = 8 and y = 9

y = 2x + c

By substituting the value of x and y

Therefore y intercept c = - 7

Therefore by substituting the value of c, the equation of line in slope intercept form is y = 2x - 7.

Now,

The equation of line in point-slope form:

=

since line is passing through Point A = (8, 9) and slope of line is 2, ∴ substituting these values in above equation:

So the equation of line in point slope form is 2x - y = 7.

Step-by-step explanation:

Hello, I can help you with this.

The slope of a line is a number that measures its "steepness", . It is the change in y for a unit change in x along the line.it is denoted by the letter m and it is given by

where P1 and P2 are two known points of the line.

Step 1

What is the slope of the line?

Let

P1(8,9)

P2(-2,4)

put the values into the equation

so the slope is 1/2

Step 2

Write the equation of the line in point-slope form.it is given by

where the coordinates of the point are known and the slope

to find this, we need a point , and the slope

Let

slope= 1/2

P=P1

Step 3

Write the equation of the line in slope-intercept form, to do this, do the operations and solve for  y

Have a great day.