Answer to Question #112679 in Algebra for katelynn

Question

What are the slope and y-intercept of the linear function graphed to the left?

slope: –2; y-intercept: 2
slope: ; y-intercept: 1
slope: ; y-intercept: 2
slope: 2; y-intercept: 1

Answer 1

For a general equation of a straight line given by : $y=mx+c$ the slope is m and the y-intercept is given by c.

The y-intercept is the length of the point on the y-axis from origin where the line cuts the y-axis. It can be calculated by finding distance between the point where the line cuts y-axis and the origin.

The slope of a line is it's inclination towards the x-axis. It can be found using $m=tan \theta =(y_2-y_1)/(x_2-x_1)$

with the help of two points on the line.