Write the equation of a line in slope intercept form that passes through the points (0, 7) and (5, 3)

first you find the slope by making using the quation for slope

(7-3)/(0-5) and you find your slope is 4/-5. Then you can plug this into point slope form using on of the coordinates so:

y-y1=m(x-x1) --> y-3=-4/5(x-5)

then you distribute the -1 so > y-3=-4/5x+4 and then move the 3 over

so the answer is y= -4/5x+7

To solve this problem, we must remember that the formula for slope, represented by the variable m, is m = y2-y1/x2-x1, and slope-intercept form is y=mx + b, where the variable m again represents the slope and the variable b represents the y-intercept. First, we will solve for the slope by plugging in the values we are given in our ordered pairs into the formula and simplifying using subtracting and then division:

m = y2-y1/x2-x1 = (7-3)/(0-5) = 4/-5 = -4/5

The y-intercept is found where the x value is equal to 0, which is given to us in the point (0,7). This means that b = 7 because the variable b represents the y-intercept.

Now, we can substitute in these values into slope-intercept form to create our equation.

y = mx + b

y = -4/5x + 7

Therefore, your answer is y = -4/5x + 7.

Hope this helps!

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

in the attachment.   i didn't see your choices.   the word which means there is choices.

step-by-step explanation:

(x,y)

x tells you how much left or right you go from the origin

y tells you how much down or up you go from the origin

so for example (-3,2), you go left 3 and up twice. i denoted which of the ordered pairs is which in my graph.