Question

# Identify the slope and y-intercept of the line:

Hint:

### The slope-intercept form of a line is y=mx + c, where m Is the slope of the line and c is the y- intercept. You obtain the value of y-intercept when you take x = 0.

We are asked to find the slope and y-intercept of the line with the given equation.

## The correct answer is: Slope, m = - 5 and y-intercept, c=-3/4.

### Step 1 of 1:

The slope intercept form of a line is y = mx + c, where m is the slope and c is the y-intercept.

Here, the given equation is: Comparing it with the slope-intercept form, we get:

Slope, m = - 5 and y-intercept,

You get the value of the slope using the equation, . The value of the y-intercept is obtained by substituting x = 0 in the equation.

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### Write the equation in slope-intercept form of the line that passes through the points (5, 4) and (-1, 6).

The slope intercept form is y = mx + b, where m represents the slope and b represents the y-intercept. We can draw the graph of a linear equation on the x-y coordinate plane using this form of a linear equation.

Steps for determining a line's equation from two points:

Step 1: The slope formula used to calculate the slope.

Step 2: To determine the y-intercept, use the slope and one of the points (b).

Step 3: Once you know the values for m and b, we can plug them into the slope-intercept form of a line, i.e., (y = mx + b), to obtain the line's equation.

### Write the equation in slope-intercept form of the line that passes through the points (5, 4) and (-1, 6).

The slope intercept form is y = mx + b, where m represents the slope and b represents the y-intercept. We can draw the graph of a linear equation on the x-y coordinate plane using this form of a linear equation.

Steps for determining a line's equation from two points:

Step 1: The slope formula used to calculate the slope.

Step 2: To determine the y-intercept, use the slope and one of the points (b).

Step 3: Once you know the values for m and b, we can plug them into the slope-intercept form of a line, i.e., (y = mx + b), to obtain the line's equation.