Find the value of c if a line with slope 3/4 passes through the points (1,8) and (5,c) PLEASE HELP

Mathematics

1 answer:

seropon [69]2 years ago

5 0

The value of c, if a line with a slope of 3/4 that passes through the points (1,8) and (5,c), is 11.

<h3>What is the equation of a line?</h3>

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

Given that the line has a slope of 3/4 and passes through the point (1,8). Therefore, we need to substitute the slope and the coordinates in the equation of the line, to get the value of the y-intercept.

y = mx + c

8 = (3/4)(1) + c

8 = (3/4) + c

c = 8 - (3/4)

c = 29/4

Now, the line also passes through (5,c), therefore, if we substitute the value of slope and y-intercept in the equation,

y = mx + c

c = (3/4)(5) + (29/4)

c = (15/4) + (29/4)

c = 44/4

c = 11

Hence, the value of c, if a line with a slope of 3/4 that passes through the points (1,8) and (5,c), is 11.