Write the equation in slope intercept form of the line that contains the points 4 -7 and 0 5?

Answer 1

Slope-intercept form is the form y=mx + c

m is the multiplier of x, it is the gradient or slope of a linear graph.

c is the constant that we must add, it is the point where the linear graph will cross the y-axis, it is the y-axis intercept.

We have been given two sets of coordinates

A: (4, -7) and

B: (0, 5)

These are cartesian coordinates and they are always given as a value of an x-coordinate followed by the corresponding y-coordinate which fits the equation of the line (x, y).

We can write two equations because we know that both equations will fit our equation in slope-intercept form.

y = mx + c becomes:

A: -7 = 4m + c

B: 5 = 0m + c or 5 = c

Now we know that c = 5 (the intercept is 5) we can substitute this into equation A and find m.

-7 = 4m + 5

Rearrange this

-12 = 4m

-3 = m

So slope = -3 and intercept = 5

Put this back into the general slope-intercept form (y = mx + c)

y = -3x + 5