Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-intercept form. (-3,5), (3,3)
What is the point-slope form of the equation of the line?
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
What is the slope-intercept form of the equation of the line?
(Simplify your answer. Use integers or fractions for any numbers in the equation.)

Step-by-step explanation:

Point-slope form:

The standard point-slope form equation is

where are the coordinates and is the slope/gradient

so for point-slope form we need to find m cause we already have 2 coordinates (-3,5) , (3,3) we can use any one of them in our equation but first we need to find the slope by the formula

we use our coordinates to find it and simply plug in the values

so we get our slope m = -1/3

and simply put m and any one of the coordinates into the standard form

Slope-intercept form:

The standard slope-intercept form is

where m is the slope and c is the y-intercept, we already know the slope is -1/3 from the previous steps but we don't know the y-intercept so lets get started.

y-intercept means the equation intersects the y-axis which means the coordinate should be so we plug in the slope -1/3 and the coordinate given above (-3,5) , (3,3) in the equation to find the y-intercept that is c. We can you use any one of the two coordinates.

so now we found the value of c=4 which is the y-intercept (0,4) and finally our slope-intercept form would be

as both form are same but the approach is different this verifies that both our answers are correct.

im with everythinglos so yeahhhhh

step-by-step explanation: