Answer:
True
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Here, we want to get the equation of the line perpendicular to;
y = -3x + 2
From here, we can compare with the standard form of the equation of a straight line which is;
y = mx + c
From here m = -3
The slope is -3
Now, if two lines are perpendicular, the product of their slopes is -1
Thus;
-3 * m = -1
m = 1/3
So we want to select an equation out of the options that has a slope of 1/3
Let us take a look at the last option
x -3y = 3
3y = x-3
divide through by 3
y = x/3-1
So here the coefficient of x is 1/3 which is the slope of the perpendicular line that we are looking for and is our slope
9514 1404 393
Answer:
Step-by-step explanation:
We can start with the point-slope form of the equation for a line. To meet the given requirements, we can use a point of (5, 0) and a slope of -1. Then the equation in that form is ...
y -0 = -1(x -5)
Simplifying gives the slope-intercept form:
y = -x +5 . . . . . . . use the distributive property to eliminate parentheses
Adding x to both sides gives the standard form:
x + y = 5
__
<em>Explanation</em>
We know the line has the required intercept and slope because we chose those values to put into the point-slope form. Conversion from one form to another made use of the rules of equality, the additive identity element (y-0=y), and the distributive property.
1.6 % of 43.75 is 70
Because 70/43.75 is 1.6
4x + 3y = 12
3y = -4x + 12
y = -4/3x + 4........so the slope (or gradient) is -4/3...because in y = mx + b form, the slope(gradient) is in the m position and the y int is in the b position....so if u wanted to know the y axis, it would be (0,4)
the x intercept (where the line crosses the x axis) can be found by subbing in 0 for y in the original equation or the slope intercept equation, and solving for x.
4x + 3(0) = 12
4x = 12
x = 12/4 = 3....so the x intercept is (3,0)