Question

Find the slope and y-intercept from the following graph of a linear equation

Answer 1

y=4x+3

Explanation:

y=mx+b

m-slope

b-y-intercept

slope is 4/1 rise 4 ,run 1

m=4/1=4

y-intercept is 3

Answer 2

Slope = 4

y-intercept = 3

Explanation:

1. Find the slope

The slope of the line is the change in the line, it is also known as the
`(rise)/(run)`. It can be found by using the formula;
`(y_2 - y_1)/(x_2 - x_1)`. On the graph, one can see that points ( -1, -1 ) and ( -2, -5 ). Substitute these into the formula and solve for the slope;

`=(y_2 - y_1)/(x_2 - x_1)\\\\=((-5) - (-1))/((-2) - (-1))\\\\=(-5 + 1)/(-2 + 1)\\\\=(-4)/(-1)\\\\= 4`

The slope of the given line is 4

2. Find the y-intercept

The y-intercept is where the graph of the line intersects the y-axis. In this case, this point is visible, the point at which the graph intersects the y-axis is (0, 3). The y-intercept is the y-coordinate of this point, in other words (3).