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Chapter 5: Problem 46

Write an equation of the line in slope-intercept form. The slope is \(-4 ;\) the \(y\) -intercept is 7

Short Answer

Expert verified
The equation of the line in the slope-intercept form is \( y = -4x + 7 \)

Step by step solution

01

Understand the Slope-Intercept Form

First, understand the slope-intercept form of the equation of a line, which is \( y = mx + b \). Here, 'm' stands for the slope of the line and 'b' is the Y-intercept, the point where the line crosses the Y axis.
02

Substitute the Given Values

Substitute the given values of the slope (-4) and y-intercept (7) into the slope-intercept equation. This leads to the equation \( y = -4x + 7 \).
03

Write the Final Equation

The final equation of the line, by substituting the given slope and y-intercept, is \( y = -4x + 7 \).

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Most popular questions from this chapter

Write an equation in standard form of the line that passes through the two points. $$(1,4),(5,7)$$

Graph the numbers on a number line. Then write two inequalities that compare the two numbers. $$ -\frac{1}{2} \text { and } \frac{3}{2} $$

Use a table of values to graph the equation. Label the \(x \text { -intercept and the } y \text { -intercept. (Review } 4.2,4.3)\) $$y=-9+3 x$$

Write an equation of the line that passes through the points. (0,-6),(-1,7)

Write an equation of the line that passes through the points. (3,7),(7,3)
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