In slope-intercept form, what is the equation of the line passing through the points (3,17) and (7,25)

Question

asked Oct 11, 2020 213k views

2 Answers

VpiTriumph · Answer 1 · 2020-10-12T01:29:03+0000

Answer:

y=2x+11

Explanation:

The slope is found using the formula:

m=(y_2-y_1)/(x_2-x_1)

Plug in the values to get;

m=(25-17)/(7-3)=2

m=2

The slope-intercept form is given by;

y=mx+c

Plug in the slope

y=2x+c

Use (3,17) to find the value of c.

17=2(3)+c

17=6+c

c=17-6=11

The slope-intercept form is;

y=2x+11

Abdul Aleem · Answer 2 · 2020-10-18T01:18:41+0000

Answer:
y=2x+11

Explanation:

The slope-intercept form of a line is:

y=mx+b

Where m is the slope and b is the intersection of the line with the y-axis.

Find the slope with:

$m=(y_2-y_1)/(x_2-x_1)\\\\m=(17-25)/(3-7)\\\\m=(-8)/(-4)\\\\m=2$

Substitute the slope and one of the given points into
y=mx+b and solve for "b":

$17=2(3)+b\\\\17=6+b\\b=11$

Then you get:

y=2x+11